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\section{Introduction}
Brown observed almost two centuries ago
that the motion of a pollen suspended
in water was erratic. This led to the kinetic explanation by
Einstein in 1905 that Brownian motion was created by the
constant ``kicks" on the relatively heavy pollen by the
light water molecules. Einstein's theory, ... | {
"timestamp": "2006-02-06T02:08:20",
"yymm": "0503",
"arxiv_id": "math-ph/0503001",
"language": "en",
"url": "https://arxiv.org/abs/math-ph/0503001"
} |
\section{Introduction}
In nano-MOSFETs, resonant tunneling diodes and other micro-electronic devices, quantum effects are known to play a significant role \cite{Markowich}. Recently, there has been some efforts to create models incorporating quantum effects for micro-electronic devices in a less expensive way than, fo... | {
"timestamp": "2005-03-02T22:19:10",
"yymm": "0503",
"arxiv_id": "quant-ph/0503030",
"language": "en",
"url": "https://arxiv.org/abs/quant-ph/0503030"
} |
\section{#1}\setcounter{equation}{0}}
\newcommand{\subsect}[1]{\subsection{#1}}
\renewcommand{\theequation}{\arabic{section}.\arabic{equation}}
\font\mbn=msbm10 scaled \magstep1
\font\mbs=msbm7 scaled \magstep1
\font\mbss=msbm5 scaled \magstep1
\newfam\mbff
\textfont\mbff=\mbn
\scriptfont\mbff=\mbs
\scriptscriptfont\mb... | {
"timestamp": "2005-03-21T04:27:23",
"yymm": "0503",
"arxiv_id": "math/0503408",
"language": "en",
"url": "https://arxiv.org/abs/math/0503408"
} |
\section{Introduction} \label{sec1}
Let $G = (V,E)$ be a finite undirected graph
with vertex set $V$ and edge set $E$.\footnote{
In this paper a ``graph'' is allowed to have
loops and/or multiple edges unless explicitly stated otherwise.
}
The \defword{multivariate Tutte polynomial} of $G$ is, by definition,
th... | {
"timestamp": "2005-03-25T17:44:15",
"yymm": "0503",
"arxiv_id": "math/0503607",
"language": "en",
"url": "https://arxiv.org/abs/math/0503607"
} |
\section{Introduction.}
The problem of achieving and maintaining beam-beam collisions (BBC) at the
International Linear Collider (ILC) ranks as possibly the greatest technical
challenge in a project full of daunting technical challenges.
It is not difficult to see why. For the purpose of counting degrees of freedom
... | {
"timestamp": "2005-03-03T22:54:15",
"yymm": "0503",
"arxiv_id": "physics/0503033",
"language": "en",
"url": "https://arxiv.org/abs/physics/0503033"
} |
\section{Introduction}
It has been argued that prominent features in the spectra of
brown dwarfs and extra-solar planets may be attributed to the
resonance lines of the alkali metal atoms, broadened by collisions with the
ambient hydrogen molecules and helium atoms
\cite{burrows01,seager00,brown01,... | {
"timestamp": "2005-05-07T10:03:50",
"yymm": "0503",
"arxiv_id": "physics/0503244",
"language": "en",
"url": "https://arxiv.org/abs/physics/0503244"
} |
\section{Introduction}
There is much current interest in the use of coherent control in order to
generate novel matter-radiation states in cavity QED and atom-optics systems
\cite{Alexandra}. In addition, the field of cavity QED has caught the interest of
workers in the field of solid-state nanostructures, since effect... | {
"timestamp": "2005-05-02T15:59:07",
"yymm": "0503",
"arxiv_id": "quant-ph/0503015",
"language": "en",
"url": "https://arxiv.org/abs/quant-ph/0503015"
} |
\section{Introduction}
The finite element method (FEM), originally developed for structure design
and analysis, is usually based on nodal elements \cite{ZT}. Simply applying
nodal elements to Maxwell equations causes problems such as spurious modes
\cite{Sun}. The use of edge elements is the only reasonable way \cite%... | {
"timestamp": "2005-11-14T19:44:11",
"yymm": "0503",
"arxiv_id": "physics/0503013",
"language": "en",
"url": "https://arxiv.org/abs/physics/0503013"
} |
\section{Introduction}
In \cite{Pa} A.N. Parshin offered a generalization of the classical KP-hierarchy and
studied different properties of this system: the conversations laws, Zaharov-Shabat
equations and some others. The generalized KP-hierarchy was there interpreted as a dynamical system on some infinite-dimensi... | {
"timestamp": "2005-11-07T18:21:09",
"yymm": "0503",
"arxiv_id": "math-ph/0503067",
"language": "en",
"url": "https://arxiv.org/abs/math-ph/0503067"
} |
\section{Introduction}
Dynamics of public opinion is a central subject in political sciences. As votes can be described
with numbers, research in this field
belongs at least partially to the behavioral tradition in America or to the sociophysics
in Europe. Indeed, opinion dynamics attracts
attention of several aut... | {
"timestamp": "2005-04-13T08:43:53",
"yymm": "0503",
"arxiv_id": "physics/0503189",
"language": "en",
"url": "https://arxiv.org/abs/physics/0503189"
} |
\section{The model}
Let us assume a model of $N$ identical two-level atoms (spin-1/2 particles), at positions
$\vec{r}_1,\dots,\vec{r}_N$ coupled to a single mode electromagnetic field via the electric-dipole
interaction originally proposed by Dicke \cite{Dicke1954}
(see also Refs.~\cite{Tavis1967,Narducci1973,Andreev1... | {
"timestamp": "2005-03-24T19:04:12",
"yymm": "0503",
"arxiv_id": "quant-ph/0503195",
"language": "en",
"url": "https://arxiv.org/abs/quant-ph/0503195"
} |
\section{Introduction}
Geometric discrete surfaces are commonplace in physics and mathematics.
Their use in path integrals on discrete spaces, e.g. in statistical
mechanics or Regge calculus, is well known. In mathematics
discrete surfaces are sometimes used to characterize topologies, and
they have many appli... | {
"timestamp": "2005-03-29T09:43:00",
"yymm": "0503",
"arxiv_id": "physics/0503212",
"language": "en",
"url": "https://arxiv.org/abs/physics/0503212"
} |
\section{Overview}
Compared to \textrm{the long history of the theoretical understanding of
entanglement of atom-field systems extending over many decades [1,2],
intensive experimental investigations started only recently involving
different systems [3]. }Entanglement lies at the heart of quantum mechanics,
and is pr... | {
"timestamp": "2005-03-10T20:41:45",
"yymm": "0503",
"arxiv_id": "quant-ph/0503106",
"language": "en",
"url": "https://arxiv.org/abs/quant-ph/0503106"
} |
\section{Introduction}
Power-law distributions taking the form
\begin{equation}\label{eq:power-law}
f(i) = C \ i^{- \tau},
\end{equation}
where $C$ and $\tau$ are positive constants, are abundant in nature \cite{SORN00}.
The constant $\tau$ is called the {\em exponent} of the distribution. Examples of
such distributio... | {
"timestamp": "2005-03-23T20:33:13",
"yymm": "0503",
"arxiv_id": "physics/0503184",
"language": "en",
"url": "https://arxiv.org/abs/physics/0503184"
} |
\section{Introduction}
In a remarkable paper \cite{MW} Mehlig and Wilkinson propose a simple
derivation of Gutzwiller's \cite{Gutzwiller} approximation%
\begin{equation}
\widetilde{\rho }_{\text{Gutz}}(E)=\frac{1}{\pi \hbar }\func{Re}\sum_{po}%
\frac{T_{po}i^{\nu _{po}}}{\sqrt{|\det (S_{po}-I)|}}e^{i\mathcal{A}%
_{po}... | {
"timestamp": "2005-03-30T15:51:49",
"yymm": "0503",
"arxiv_id": "math/0503708",
"language": "en",
"url": "https://arxiv.org/abs/math/0503708"
} |
\section*{Introduction}
Let ${\cal P} \subset {\NZQ R}^N$ be an integral convex polytope,
i.e., a convex polytope
each of whose vertices
has integer coordinates.
Let
$K[{\bold x}, {\bold x}^{-1}, t] =
K[x_1, x_1^{-1}, \ldots, x_N, x_N^{-1}, t]$
denote the Laurent polynomial ring in $(N + 1)$ variables over
a field... | {
"timestamp": "2005-03-29T11:19:41",
"yymm": "0503",
"arxiv_id": "math/0503666",
"language": "en",
"url": "https://arxiv.org/abs/math/0503666"
} |
\section{Introduction}
Recall that the $p$-rank of a finite group $G$, $\mathrm{rk} _{p}(G)$, is the largest rank of an elementary
abelian $p$-subgroup of $G$ and that the rank of a finite group $G$, $\mathrm{rk} (G)$, is the maximum of
$\mathrm{rk} _{p}(G)$ taken over all primes $p$.
We can define the homotopy rank... | {
"timestamp": "2005-12-02T16:21:20",
"yymm": "0503",
"arxiv_id": "math/0503746",
"language": "en",
"url": "https://arxiv.org/abs/math/0503746"
} |
\section{I. Introduction}
A photonic crystal slab (PhCS) is a layer of dielectric where refractive index is periodically modulated within the plane of the slab\cite{phcs_old1,phcs_old2,Johnson:1999}. Such devices have attracted much attention because of their potential applications to various optoelectronic devices an... | {
"timestamp": "2005-03-21T22:27:20",
"yymm": "0503",
"arxiv_id": "physics/0503170",
"language": "en",
"url": "https://arxiv.org/abs/physics/0503170"
} |
\section{Introduction}
Factorization of large integers is important to many areas of pure
mathematics and has practical applications in applied math including
cryptography. This subject has been under intense study for many
years \cite{CrPo2}; improvements in the methodology are especially
desired for computational ... | {
"timestamp": "2005-09-21T02:04:20",
"yymm": "0503",
"arxiv_id": "physics/0503159",
"language": "en",
"url": "https://arxiv.org/abs/physics/0503159"
} |
\section*{1. Introduction}
\mbox{}\hspace{6mm}The coherent states introduced by Schr\"{o}dinger [1] and
Glauber [2] are the eigenstates of the boson annihilation operator, and have
widespread applications in the fields of physics [3$-$7]. However, in all
the cases the quanta involved are uncharged. In 1976, Bhaumik et... | {
"timestamp": "2005-04-05T14:39:09",
"yymm": "0503",
"arxiv_id": "quant-ph/0503076",
"language": "en",
"url": "https://arxiv.org/abs/quant-ph/0503076"
} |
\section{Introduction}
We establish the existence and uniqueness in Sobolev spaces of strong solutions
to the unsteady fluid-structure interaction problem consisting of a nonlinear
large-displacement elastic solid coupled to a viscous incompressible Newtonian
fluid. The fluid motion is governed by the incompressible... | {
"timestamp": "2005-03-21T18:10:00",
"yymm": "0503",
"arxiv_id": "math/0503431",
"language": "en",
"url": "https://arxiv.org/abs/math/0503431"
} |
\section{Introduction.}\setcounter{subsection}{1}
This is the first part of a series of articles where we are going
to develop theory of valuations on manifolds generalizing the
classical theory of continuous valuations on convex subsets of an
affine space. In this article we still work only with linear
spaces. In the... | {
"timestamp": "2005-08-23T08:57:01",
"yymm": "0503",
"arxiv_id": "math/0503397",
"language": "en",
"url": "https://arxiv.org/abs/math/0503397"
} |
\section{Introduction}
In previous publications\ccite{AV90,AV91,RA95,Vaid96,Vaidman96b},
an objective description of a quantum system in the time interval
between two complete measurements has been proposed in terms of
\emph{two} state vectors, together with a new type of physical
quantity, the ``weak value" o... | {
"timestamp": "2005-08-23T04:24:49",
"yymm": "0503",
"arxiv_id": "quant-ph/0503225",
"language": "en",
"url": "https://arxiv.org/abs/quant-ph/0503225"
} |
\section{Introduction.}
The notion of perfect lattices came up about 100 years ago in papers
by Korkine and Zolotarev and especially Voronoi \cite{Vor} during the
study of dense lattice sphere packings.
If the centers of the spheres in a packing form a lattice $\Lambda $
in Euclidean space $({\mathbb{R}} ^n,(,))$
th... | {
"timestamp": "2005-03-22T08:45:30",
"yymm": "0503",
"arxiv_id": "math/0503446",
"language": "en",
"url": "https://arxiv.org/abs/math/0503446"
} |
\section{Introduction}
One of the major issues of hadron physics is the determination of
masses and coupling constants for the different baryon resonances.
These extracted parameters serve as a test of different QCD-based
models~\cite{Met01,The01}. As will be
demonstrated in this work, coupled channels effects are lar... | {
"timestamp": "2005-08-03T12:52:09",
"yymm": "0503",
"arxiv_id": "nucl-th/0503013",
"language": "en",
"url": "https://arxiv.org/abs/nucl-th/0503013"
} |
\section{Discrete Space-Time and the Fermionic Projector} \label{sec1}
Let~$H$ be a finite-dimensional complex vector space,
endowed with a sesquilinear form $\mbox{$< \!\!$ \nolinebreak} .|. \mbox{\nolinebreak $>$} \::\:
H \times H \to \mathbb{C}$, i.e.\ for all $u, v, w \in H$ and $\alpha, \beta \in \mathbb{C}$,
\beg... | {
"timestamp": "2007-02-16T09:47:32",
"yymm": "0503",
"arxiv_id": "math-ph/0503069",
"language": "en",
"url": "https://arxiv.org/abs/math-ph/0503069"
} |
\section{}
\section{INTRODUCTION}
The production of intermediate mass fragments (IMF, Z$\ge$3) is one
of the main features of the nuclear reactions in the Fermi energy regime
(i.e. at bombarding energies of 30-50 MeV/nucleon), and can arise from
various mechanisms \cite{libri}.
Compound systems, formed in central... | {
"timestamp": "2005-03-10T22:05:26",
"yymm": "0503",
"arxiv_id": "nucl-ex/0503005",
"language": "en",
"url": "https://arxiv.org/abs/nucl-ex/0503005"
} |
\section{Computation}
The silicon transistor was invented about half a century ago.
Since then the semiconductor technology has grown at a rapid pace to
pervade almost all aspects of our lives.
This growth has been so explosive---doubling the number of transistors
on a chip every 18-24 months according to Moore's law-... | {
"timestamp": "2005-03-07T15:58:03",
"yymm": "0503",
"arxiv_id": "quant-ph/0503068",
"language": "en",
"url": "https://arxiv.org/abs/quant-ph/0503068"
} |
\section{}
A photodetector that can count the number of photons in a pulse, a so-called photon number resolving detector (PNRD) is an essential tool for all quantum optics experiments and quantum info-commnunication technologies. Recent theoretical developments have shown that single photons, combined with linear opti... | {
"timestamp": "2005-03-04T03:33:44",
"yymm": "0503",
"arxiv_id": "quant-ph/0503050",
"language": "en",
"url": "https://arxiv.org/abs/quant-ph/0503050"
} |
\section{Introduction}
The theory of relativistic wave equations (RWE) is one of the oldest topics
in theoretical physics. As usual, the theory of RWE closely relates with
higher spin formalisms. However, at present there is no a fully
adequate formalism for description of higher--spin fields (all widely
accepted highe... | {
"timestamp": "2007-05-10T06:06:27",
"yymm": "0503",
"arxiv_id": "math-ph/0503058",
"language": "en",
"url": "https://arxiv.org/abs/math-ph/0503058"
} |
\section{Introduction}
Quantum entanglement is one of the most interesting and debated
properties of quantum mechanics. It has become an essential resource
for the quantum communication created in recent years, with some
potential applications such as quantum cryptography
\cite{Bennett84,Ekert91} and quantum teleportat... | {
"timestamp": "2005-03-10T12:06:42",
"yymm": "0503",
"arxiv_id": "quant-ph/0503103",
"language": "en",
"url": "https://arxiv.org/abs/quant-ph/0503103"
} |
\section*{Acknowledgments}
The authors are grateful to A.~Lambrecht and S.~Reynaud for
information on the computation details in Ref.~\cite{7}.
V.B.B. and C.R. were supported by CNPq.
R.S.D. acknowledges financial support from the Petroleum Research
Foundation through ACS-PRF No. 37452-G.
The work of E.F. is supported ... | {
"timestamp": "2006-02-23T22:42:44",
"yymm": "0503",
"arxiv_id": "quant-ph/0503134",
"language": "en",
"url": "https://arxiv.org/abs/quant-ph/0503134"
} |
\section{Introduction}
\vspace*{-0.5pt}
\noindent
The computational method based on the lattice Boltzmann equation (LBE) is relatively new
for fluid dynamics. It is part of the paradigm of simulating complex physical phenomena, in
particular fluid flows, that are based on the observation that the interactions of qua... | {
"timestamp": "2005-03-28T05:08:22",
"yymm": "0503",
"arxiv_id": "physics/0503208",
"language": "en",
"url": "https://arxiv.org/abs/physics/0503208"
} |
\section{Introduction}
In quantum mechanics, the Schr\"odinger equations which can be
completely solved by algebraic methods are rather exceptional.
One can attenuate the condition of complete solvability
by asking that, at least, a few eigenvectors can be obtained
by an algebraic method.
The so called ``quasi exactly... | {
"timestamp": "2005-03-15T17:33:01",
"yymm": "0503",
"arxiv_id": "quant-ph/0503137",
"language": "en",
"url": "https://arxiv.org/abs/quant-ph/0503137"
} |
\section{Introduction}
The interactions between trapped ultra-cold atoms govern many
interesting collective quantum phenomena, ranging from
Bose-Einstein condensation \cite{Leggett} to recently observed
fermion superfluid \cite{bcs}. At sufficiently low energies, it is
known that short ranged atom-atom interactions ca... | {
"timestamp": "2005-07-25T04:50:58",
"yymm": "0503",
"arxiv_id": "quant-ph/0503020",
"language": "en",
"url": "https://arxiv.org/abs/quant-ph/0503020"
} |
\section{Introduction and Motivation}
Let $\Sigma_{g,p}$ be an orientable surface of genus $g$ with $p$
boundary components.
For instance,
$\Sigma_{0,0}$ is the 2-sphere, $\Sigma_{1,0}$ is the
torus,
and $\Sigma_{0,1}$ corresponds to the disk.
A \emph{geometric braid} on $\Sigma_{g,p}$ based at
$\mathcal... | {
"timestamp": "2005-03-29T10:04:36",
"yymm": "0503",
"arxiv_id": "math/0503658",
"language": "en",
"url": "https://arxiv.org/abs/math/0503658"
} |
\section*{Introduction}
\noindent The internet has changed the way people communicate, work, and do business. One example are online auction sites, the largest being eBay with its more than $150$ million registered users world wide \cite{Economist}. An interesting aspect of eBay's success is its transparency. The marke... | {
"timestamp": "2006-07-11T18:06:59",
"yymm": "0503",
"arxiv_id": "physics/0503138",
"language": "en",
"url": "https://arxiv.org/abs/physics/0503138"
} |
{
"timestamp": "2005-03-15T16:06:44",
"yymm": "0503",
"arxiv_id": "nucl-ex/0503009",
"language": "en",
"url": "https://arxiv.org/abs/nucl-ex/0503009"
} | |
\section{Introduction}
\label{sec:intro}
In isotropic turbulence, structure functions are among the
favorite statistical indicators of intermittency.
The (longitudinal) structure function of order $p$ is defined by
$S_p({r})\equiv \langle \delta{v}_{\parallel}({r})^p\rangle$. The
K41 theory \cite{KOLMOGOROV-1941-DA... | {
"timestamp": "2005-03-17T12:58:12",
"yymm": "0503",
"arxiv_id": "physics/0503142",
"language": "en",
"url": "https://arxiv.org/abs/physics/0503142"
} |
\section{}
While phase transitions are striking phenomena in infinite systems,
it has been difficult to establish them in finite systems
such as atomic nuclei,
because their signatures are often obscured
by the quantum fluctuations~\cite{LA84}.
Since most nuclei have the superfluidity in their ground states,
\textit{... | {
"timestamp": "2005-09-14T04:41:14",
"yymm": "0503",
"arxiv_id": "nucl-th/0503066",
"language": "en",
"url": "https://arxiv.org/abs/nucl-th/0503066"
} |
\chapter{Beables for Quantum Control}
\label{chap-control}
Beable methods offer two potential benefits in simulating quantum
systems. We have already discussed how beables can help to define
iterative numerical algorithms for simulating dynamics over an associated
classical state space. But the beale framework also ... | {
"timestamp": "2005-03-21T03:34:08",
"yymm": "0503",
"arxiv_id": "quant-ph/0503169",
"language": "en",
"url": "https://arxiv.org/abs/quant-ph/0503169"
} |
\section{Introduction}
\subsection{Background}
A basic question in quantum mechanics is how to obtain information
about the state of a given physical system by using suitable
measurements. Even in case many identically prepared copies of the
system are available, it is a nontrivial task to devise a measurement
proced... | {
"timestamp": "2005-03-31T18:03:35",
"yymm": "0503",
"arxiv_id": "quant-ph/0503239",
"language": "en",
"url": "https://arxiv.org/abs/quant-ph/0503239"
} |
\section{Introduction}
This workshop deals essentially with microscopic nuclear structure
which has the goal
to derive the properties of atomic
nuclei from the `elementary' forces between nucleons.
Thus, the input for microscopic nuclear structure calculations
are the `basic' nuclear forces:
two-nucleon forces (2NF), ... | {
"timestamp": "2005-03-10T03:57:17",
"yymm": "0503",
"arxiv_id": "nucl-th/0503025",
"language": "en",
"url": "https://arxiv.org/abs/nucl-th/0503025"
} |
\section{Introduction}
About a decade ago the Lorentz Integral Transform (LIT) method has been
proposed in order to perform ab initio calculations of electroweak reactions
with nuclei into the continuum \cite{LIT}. The great advantage of the method lies in
the fact that a calculation of continuum wave functions is n... | {
"timestamp": "2005-03-11T11:25:11",
"yymm": "0503",
"arxiv_id": "nucl-th/0503033",
"language": "en",
"url": "https://arxiv.org/abs/nucl-th/0503033"
} |
\section{Introduction}
The quantum ergodicity theorem by
Shnirelman, Zelditch and Colin de Verdi{\`e}re, \cite{Shn74,Zel87,Col85}, states
that almost all eigenfunctions of a quantum mechanical Hamilton operator become equidistributed
in the semiclassical limit if the underlying
classical system is ergodic.
Cons... | {
"timestamp": "2005-03-17T13:09:54",
"yymm": "0503",
"arxiv_id": "math-ph/0503045",
"language": "en",
"url": "https://arxiv.org/abs/math-ph/0503045"
} |
\section{Introduction
In \cite{Wer1}, we introduced a theory of {\it contractive Markov
systems (CMS)} which provides a unifying framework in so-called
'fractal' geometry. It extends the known theory of {\it iterated
function systems (IFS) with place dependent probabilities}, which
are contractive on average, \cite{BD... | {
"timestamp": "2005-05-13T13:08:47",
"yymm": "0503",
"arxiv_id": "math/0503644",
"language": "en",
"url": "https://arxiv.org/abs/math/0503644"
} |
\section*{This is an unnumbered first-level section head}
\par
\section {Stochastic Optimization}
.
\subsection{Black-Scholes Formula}
\par
Black-Scholes' formula starts from heat equation
\begin{equation}
{\partial u\over {\partial t}}={1\over 2} {\partial^2 u^2\over {\partial^2 x^2}},
\end{equation}
the solution is... | {
"timestamp": "2005-03-22T07:45:48",
"yymm": "0503",
"arxiv_id": "math/0503444",
"language": "en",
"url": "https://arxiv.org/abs/math/0503444"
} |
\section{Introduction}
Since the beginning of quantum mechanics, the hydrogen atom has been
one of the best studied models in physics \cite{BeS57,BaJ83}. In a large number
of textbooks and monographs, therefore, its (well--known) solutions from
either the nonrelativistic Schr\"odinger equation or Dirac's (relativist... | {
"timestamp": "2005-03-01T14:47:45",
"yymm": "0503",
"arxiv_id": "physics/0503011",
"language": "en",
"url": "https://arxiv.org/abs/physics/0503011"
} |
\section{Introduction}
\label{sec_introduction}
Since the famous result of Jarnik \cite{JARNIK1} concerning
Diophantine approximation and Hausdorff dimension, the following
problem has been widely encountered and studied in various
mathematical situations.
\smallskip
Let $\{x_n\}_{n\in\mathbb{N}}$ be a sequence in a... | {
"timestamp": "2005-03-21T13:49:18",
"yymm": "0503",
"arxiv_id": "math/0503419",
"language": "en",
"url": "https://arxiv.org/abs/math/0503419"
} |
\section{Introduction}
On the Silver Jubilee of the founding of the Alternative Natural
Philosophy Association it was possible to present a new piece of
natural philosophy\cite{SciCos04, LNsub04, LJNiprep04} which the
authors believe has profound implications for the new field of
particle-astrophysics/cosmology; SLAC ... | {
"timestamp": "2005-03-23T14:34:58",
"yymm": "0503",
"arxiv_id": "physics/0503181",
"language": "en",
"url": "https://arxiv.org/abs/physics/0503181"
} |
\section{Introduction and main result}
\label{ref-1-0}
Below $k$ is an algebraically closed field of characteristic zero and $A = k[x,y,z]$. We will consider the Hilbert scheme $\Hilb_{n}(\PP^{2})$ parametrizing zero-dimensional subschemes of length $n$ in $\PP^2$. It is well known that this is a smooth connected proj... | {
"timestamp": "2005-03-31T12:21:41",
"yymm": "0503",
"arxiv_id": "math/0503731",
"language": "en",
"url": "https://arxiv.org/abs/math/0503731"
} |
\section{Introduction}
It is well known that the resolution of breaking singularities
in dispersive media occurs through generation of short-wavelength
nonlinear oscillations. The wave-like transition between two
smooth or constant hydrodynamic states is generally called a
dispersive shock (or an undular bore, espec... | {
"timestamp": "2006-02-06T22:28:41",
"yymm": "0503",
"arxiv_id": "nlin/0503010",
"language": "en",
"url": "https://arxiv.org/abs/nlin/0503010"
} |
\section{Introduction}
Forecasting from time series data necessarily involves an attempt
to understand uncertainty; volatility or the standard deviation is
a key measure of this uncertainty and is found to be time-varying
in most financial time series. The seminal work of
Engle \cite{Engle}, that first
treated volati... | {
"timestamp": "2006-01-05T10:49:25",
"yymm": "0503",
"arxiv_id": "physics/0503157",
"language": "en",
"url": "https://arxiv.org/abs/physics/0503157"
} |
\section{Introduction}
There has been considerable effort directed toward understanding
how measurements can be utilized in quantum computation
\cite{everyone,briegelcluster} - either as part of error
correction, or as a method of replacing some (or all) of the
coherent processes of the standard unitary circuit model.... | {
"timestamp": "2005-03-16T18:23:11",
"yymm": "0503",
"arxiv_id": "quant-ph/0503151",
"language": "en",
"url": "https://arxiv.org/abs/quant-ph/0503151"
} |
\section{Introduction}
Quantum information, as well as classical information, can be carried either
by discrete or continuous variable (CV) systems. The latter have attracted
an increasing interest during last years \cite{cvbook}. In particular
quantum error correction (QEC) techniques have been extended to this
frame... | {
"timestamp": "2005-07-21T15:14:03",
"yymm": "0503",
"arxiv_id": "quant-ph/0503003",
"language": "en",
"url": "https://arxiv.org/abs/quant-ph/0503003"
} |
\section{Introduction}\label{intro}
There are many problems in science which are too complex for numerical
solution as they stand. Examples include turbulence and other problems
where multiple scales must be taken into account. Such problems must be
reduced to more amenable forms before one computes. In the present pap... | {
"timestamp": "2005-03-27T00:39:47",
"yymm": "0503",
"arxiv_id": "math/0503612",
"language": "en",
"url": "https://arxiv.org/abs/math/0503612"
} |
\section{Introduction}
As it was recognized already in the 1930's by some of the
founding fathers of modern physics, the notion of entanglement is one of the
most intriguing properties of quantum mechanics, distinguishing the quantum
world form the classical one \cite{Einstein35,Schrodinger35}. Moreover,
quantum entan... | {
"timestamp": "2005-05-15T10:59:32",
"yymm": "0503",
"arxiv_id": "quant-ph/0503123",
"language": "en",
"url": "https://arxiv.org/abs/quant-ph/0503123"
} |
\section{Introduction}
During the last decades applications based on the most radical
predictions and features of quantum mechanics, namely the existence
of quantum superpositions and the entanglement, have been conceived
\cite{nielsen}. Both of these features lie at the root of a new
class of quantum technologies ex... | {
"timestamp": "2006-02-08T14:37:15",
"yymm": "0503",
"arxiv_id": "quant-ph/0503127",
"language": "en",
"url": "https://arxiv.org/abs/quant-ph/0503127"
} |
\section{Introduction}
The theory of elliptic hypergeometric series has been rapidly developing.
In \cite{FreTur}, Frenkel and Turaev took the initiative
introducing a notion of modular hypergeometric functions ${}_{r+1}{\omega}_r$
as an elliptic analogue of the very-well-poised balanced basic hypergeometric series ... | {
"timestamp": "2005-03-31T06:38:49",
"yymm": "0503",
"arxiv_id": "math/0503725",
"language": "en",
"url": "https://arxiv.org/abs/math/0503725"
} |
\section{Introduction}
The laws of quantum mechanics do not allow the perfect discrimination of two
non-orthogonal quantum states $\ket{\psi_1}$ and $\ket{\psi_2}$. Consequently,
given a set of non-orthogonal states $\{\ket{\psi_1},\ket{\psi_2}\}$, it is
also impossible to find out with probability one whether two quan... | {
"timestamp": "2005-06-28T10:47:25",
"yymm": "0503",
"arxiv_id": "quant-ph/0503012",
"language": "en",
"url": "https://arxiv.org/abs/quant-ph/0503012"
} |
\section*{I INTRODUCTION}
Extensive literature exists on the possible suppression~\cite{review}-
\cite{langevin} of the $J/\psi$ mesons in a quark-gluon plasma and their
proposed regeneration~\cite{Thews}.
Among the well known mechanisms of $J/\psi$ dissociation the one due to
gluonic bombardment~\cite{xu} deserves s... | {
"timestamp": "2005-03-11T15:18:00",
"yymm": "0503",
"arxiv_id": "nucl-th/0503034",
"language": "en",
"url": "https://arxiv.org/abs/nucl-th/0503034"
} |
\section{introduction}
The folding probability ($p_{fold}$) of a protein conformation saved along a
Monte Carlo or molecular dynamics (MD) trajectory is the probability to fold
before unfolding \cite{Du:On}. It is a useful measure of kinetic distance from
the folded, i.e., functional state, and can be used to validat... | {
"timestamp": "2005-03-11T15:11:06",
"yymm": "0503",
"arxiv_id": "q-bio/0503014",
"language": "en",
"url": "https://arxiv.org/abs/q-bio/0503014"
} |
\section{Introduction}
In this talk, using the methods of papers \cite{Pra}, \cite{Pre}, and \cite
{Pl}, we will consider the classical-statistical limit of quantum mechanics
for a system with continuous evolution spectrum (We have discussed how
classical-statistical limit of quantum mechanics becomes the proper
class... | {
"timestamp": "2005-03-24T00:07:23",
"yymm": "0503",
"arxiv_id": "quant-ph/0503191",
"language": "en",
"url": "https://arxiv.org/abs/quant-ph/0503191"
} |
\section{Introduction}
In a series of papers by the author starting in 80's of the previous century \cite{i} a simple method for constructing integrable systems together with their
soliton-like solutions was proposed. This method requires only two calculational steps -- solving a system of linear algebraic equation... | {
"timestamp": "2005-03-16T18:25:38",
"yymm": "0503",
"arxiv_id": "math-ph/0503043",
"language": "en",
"url": "https://arxiv.org/abs/math-ph/0503043"
} |
\section{Introduction}
Entanglement is the most puzzling feature of quantum mechanics.
The surprising behaviour of entangled states has been stressed by
Einstein, Podolsky, and Rosen (EPR) \cite{epr}, who considered
a two--particle system in an entangled state and showed that
the assumptions of locality, realism and c... | {
"timestamp": "2005-03-15T17:06:04",
"yymm": "0503",
"arxiv_id": "quant-ph/0503135",
"language": "en",
"url": "https://arxiv.org/abs/quant-ph/0503135"
} |
\section{Introduction}
In biological just as in physical computer simulations, one may study phenomena
microsopically or macroscopically. Microscopic physics simulations use
Monte Carlo or Molecular Dynamics methods since half a century e.g. to
study single atoms. Macroscopic simulations average over many atoms and s... | {
"timestamp": "2005-03-12T18:26:39",
"yymm": "0503",
"arxiv_id": "physics/0503101",
"language": "en",
"url": "https://arxiv.org/abs/physics/0503101"
} |
\subsection{\em ...}; the following
\renewcommand{\subsection}{\@startsection
{subsection}%
{2}%
{0mm}%
{-\baselineskip}%
{0.15\baselineskip}%
{\normalfont\normalsize}}%
\makeatother
\setlength{\oddsidemargin}{+5mm}
\setlength{\textheight}{215mm}
\setlength{\textwidth}{159mm}
\setlength{\col... | {
"timestamp": "2005-03-10T17:38:29",
"yymm": "0503",
"arxiv_id": "physics/0503087",
"language": "en",
"url": "https://arxiv.org/abs/physics/0503087"
} |
\section{Introduction}
Detailed models of coupling at the Core Mantle Boundary (CMB) have been put forward to explain the more and more accurate measurements of the nutations of the Earth \cite{wahr81,deha97,math02}. The nutations of the Earth induce a differential rotation, about an equatorial axis, between the mantl... | {
"timestamp": "2006-11-06T19:07:38",
"yymm": "0503",
"arxiv_id": "physics/0503038",
"language": "en",
"url": "https://arxiv.org/abs/physics/0503038"
} |
\section{Introduction}
A key question of the heavy ion program at the Relativistic Heavy Ion Collider (RHIC) is to understand whether the hot and dense matter produced in the midst of the relativistic heavy ion collisions undergoes a transition to and from a quark gluon plasma (QGP) phase before it hadronizes. The stud... | {
"timestamp": "2005-10-10T11:41:29",
"yymm": "0503",
"arxiv_id": "nucl-ex/0503023",
"language": "en",
"url": "https://arxiv.org/abs/nucl-ex/0503023"
} |
\section{Introduction}
One of the first results in Lie representation theory is that the symmetric
powers $\operatorname{S}^n(\mathbb C^2)$ (for $n\in\mathbb Z_{\geqslant0}$) of the standard
representation $\mathbb C^2$ of $\operatorname{SU}(2)$ are representatives for the list of
equivalence classes of the irreducible... | {
"timestamp": "2005-03-24T15:00:36",
"yymm": "0503",
"arxiv_id": "math/0503542",
"language": "en",
"url": "https://arxiv.org/abs/math/0503542"
} |
\section{Introduction}
Libor (London Inter Bank Overnight Rates) are the interest rates for
Eurodollar deposits. Libor is one of the main instruments for
interest rates in the debt market, and is widely used for
multifarious purposes in finance. The main focus of this paper is on
the properties of Libor, and in particu... | {
"timestamp": "2005-03-15T21:25:23",
"yymm": "0503",
"arxiv_id": "physics/0503126",
"language": "en",
"url": "https://arxiv.org/abs/physics/0503126"
} |
\section{INTRODUCTION}
This work is the third of a series of papers devoted to the
construction and presentation of a consistent understanding of
the quantum mechanical description of electromagnetic radiation,
based on the assumption that the photons, and not the
electromagnetic fields, constitute the basic ontology; ... | {
"timestamp": "2005-04-15T16:10:50",
"yymm": "0503",
"arxiv_id": "quant-ph/0503023",
"language": "en",
"url": "https://arxiv.org/abs/quant-ph/0503023"
} |
\section{Mechanical context and setting of the equations}
We consider here a concentrated suspension of particles
in a Couette flow. Examples of such suspensions are numerous: tooth
pastes, cements, the blood. As opposed to some other complex fluids
such as
polymeric liquids for which elaborate rheological models, ... | {
"timestamp": "2005-03-21T16:19:07",
"yymm": "0503",
"arxiv_id": "math/0503425",
"language": "en",
"url": "https://arxiv.org/abs/math/0503425"
} |
\section{Introduction}
In this paper we present multiscale models of cancer tumor invasion,
and the scientific-computing methodology for solving the model
equations. The specific model treated here has components at the
molecular level (incorporated via diffusion and taxis processes), the
cellular level (incorporated... | {
"timestamp": "2005-04-15T00:08:56",
"yymm": "0503",
"arxiv_id": "q-bio/0503023",
"language": "en",
"url": "https://arxiv.org/abs/q-bio/0503023"
} |
\section{Introduction}
\label{s:intro}
Let $A$ be an abelian variety over a number field $K$ and $F$ an algebraic extension of $K$. The quotient $A(F)/A(F)_{\mathrm{tor}}$ is always torsion-free and abelian. When $F$ is a number field, the Mordell-Weil theorem asserts that it is finitely generated
and therefore fr... | {
"timestamp": "2005-03-18T13:35:16",
"yymm": "0503",
"arxiv_id": "math/0503378",
"language": "en",
"url": "https://arxiv.org/abs/math/0503378"
} |
\section{Introduction}
Entanglement is one of the main features of quantum mechanics. The most
studied example of quantum entanglement is the one of the two spin 1/2
particles as presented by David Bohm \cite{bohm01}: more specifically in the
situation where the joint quantum entity of the two spin 1/2 particles is in... | {
"timestamp": "2005-03-08T21:06:37",
"yymm": "0503",
"arxiv_id": "quant-ph/0503082",
"language": "en",
"url": "https://arxiv.org/abs/quant-ph/0503082"
} |
\section{Introduction}
\setcounter{equation}{0}
We are concerned with the following Euler
equations for the homogeneous incompressible fluid flows in $\Omega
\subset \Bbb R^3$.
\begin{eqnarray}
\frac{\partial v}{\partial t} +(v\cdot \nabla )v &=-\nabla p ,
\\
\textrm{div }\, v =0 , &\\
v(x,0)=v_0 (x), &
\en... | {
"timestamp": "2005-03-22T16:12:24",
"yymm": "0503",
"arxiv_id": "math/0503406",
"language": "en",
"url": "https://arxiv.org/abs/math/0503406"
} |
\section{Introduction}
Entanglement lies at the heart of quantum information and quantum computation \cite{Nielsen1}. It is responsible for
most of quantum phenomena, such as quantum teleportation, dense coding, quantum cryptography \cite{Bennett}.
Now it is regarded as a kind of useful resource in quantum information ... | {
"timestamp": "2005-03-15T08:55:56",
"yymm": "0503",
"arxiv_id": "quant-ph/0503131",
"language": "en",
"url": "https://arxiv.org/abs/quant-ph/0503131"
} |
\section*{Introduction}
The aim of this paper is to bring together some ideas of \cite{BMPS} and \cite{EGLMS}.
A germ of a vector field or of a 1-form on the complex affine space ${\Bbb C}^n$ at the
origin not vanishing in a punctured neighbourhood of it has a topological invariant~--- the Poincar\'e--Hopf
index. The ... | {
"timestamp": "2005-03-21T15:31:35",
"yymm": "0503",
"arxiv_id": "math/0503422",
"language": "en",
"url": "https://arxiv.org/abs/math/0503422"
} |
\section{Introduction}
Besides continuing controversies over its implication on our
understanding of the physical world
\cite{Ein35,Sel88,Bel64,Boh93,Hol93}, quantum mechanics is still
revealing its hidden aspects, now in a form of quantum information
processing \cite{Nie00}. The coherent-state (CS) picture has been
su... | {
"timestamp": "2008-08-12T09:39:58",
"yymm": "0503",
"arxiv_id": "quant-ph/0503100",
"language": "en",
"url": "https://arxiv.org/abs/quant-ph/0503100"
} |
\section{ Introduction.} \label{intro}
\medskip
Let $S^d$ denote the unit sphere in the Euclidean space ${\mathbb R}^{d+1}\; (d \ge 1)$.
Let $N$ be a natural number $(N \ge 2)$, and let $\omega_N:=\{x_{1},
\ldots,x_{N}\}$ be a collection of $N$ distinct points on $S^d$. The Riesz
$s$-energy ($s \ge 0$) associated wit... | {
"timestamp": "2005-03-27T22:08:40",
"yymm": "0503",
"arxiv_id": "math-ph/0503063",
"language": "en",
"url": "https://arxiv.org/abs/math-ph/0503063"
} |
\section{INTRODUCTION}
\label{sec:intro}
The primary goal of the relativistic heavy-ion collider (RHIC) is to
create and study matter at extremely high energy density.
It is hypothesized that at the energy densities
reached in central Au+Au reactions at RHIC, the matter created is
composed of de-confined colored objec... | {
"timestamp": "2005-05-19T19:07:20",
"yymm": "0503",
"arxiv_id": "nucl-ex/0503010",
"language": "en",
"url": "https://arxiv.org/abs/nucl-ex/0503010"
} |
\section{Introduction}
The theory of phase-space Schr\"{o}dinger equation
\begin{equation}
i\hbar \frac{\partial }{\partial t}\Psi (x,p,t)=H(x+i\hbar \partial
_{p},-i\hbar \partial _{x})\Psi (x,p,t) \label{TVF}
\end{equation}%
corresponding to the quantization rules%
\begin{equation}
x_{j}\longmapsto x_{j}+i\hbar \f... | {
"timestamp": "2005-03-30T16:01:45",
"yymm": "0503",
"arxiv_id": "math/0503709",
"language": "en",
"url": "https://arxiv.org/abs/math/0503709"
} |
\section{Introduction}
Usual quantum mechanics predicts the probabilities of alternatives
specified at a moment in time and histories of such alternatives specified
at a sequence of times. A single particle moving in one dimension provides
a familiar example. The probability $p(\Delta)$ that the particle's
positio... | {
"timestamp": "2005-07-16T01:52:31",
"yymm": "0503",
"arxiv_id": "quant-ph/0503182",
"language": "en",
"url": "https://arxiv.org/abs/quant-ph/0503182"
} |
\section{Introduction}
The Kadomtsev-Petviashvili (KP) hierarchy is of central interest for
integrable systems and includes several well-known partial differential
equations such as the Korteweg-de Vries (KdV) and the KP equation. With
pseudo-differential Lax operator $L$ given as \cite{dkjm,ost,dl1}
\begin{equation}
... | {
"timestamp": "2006-02-21T16:07:29",
"yymm": "0503",
"arxiv_id": "math-ph/0503028",
"language": "en",
"url": "https://arxiv.org/abs/math-ph/0503028"
} |
\section{Introduction}
The connection between orthogonal polynomials on the line and Toda
lattices is rather well known \cite{Bere}, as well as the relations to
the KP hierarchy \cite{AvM1}. Dynamical variables of the Toda lattice are arranged
into a tri-diagonal Lax matrix, that can be viewed as a recurrence matrix f... | {
"timestamp": "2005-03-23T16:19:00",
"yymm": "0503",
"arxiv_id": "nlin/0503050",
"language": "en",
"url": "https://arxiv.org/abs/nlin/0503050"
} |
\section{Introduction} \label{s:intro}
The dynamics of nonlinear waves is central to understanding the
behaviour of a wide range of physical systems. Applications include
Langmuir waves in plasmas ({e.g.\ }~\cite{handbook}), waves in optical fibres ({e.g.\ }~\cite{Agrawal,Kivshar}), and water waves ({e.g.\ }~\cite{Yue... | {
"timestamp": "2005-03-22T18:20:53",
"yymm": "0503",
"arxiv_id": "nlin/0503047",
"language": "en",
"url": "https://arxiv.org/abs/nlin/0503047"
} |
\section*{Abstract: } Let $X$ be a smooth projective toric surface,
and ${\mathbb H}^d(X)$ the Hilbert scheme parametrising the length $d$
zero-dimensional
subschemes of $X$. We compute the rational Chow ring $A^*({\mathbb H}^d(X))_{\mathbb Q}$. More
precisely, if $T\subset X$ is the two-dimensional torus contained... | {
"timestamp": "2005-12-15T07:25:31",
"yymm": "0503",
"arxiv_id": "math/0503697",
"language": "en",
"url": "https://arxiv.org/abs/math/0503697"
} |
\section{Introduction}
Annual influenza epidemics are responsible for the deaths of 250000 to
500000 people worldwide and cause illness in 5 to 15\% of the
total population each year \cite{WHO_2}. The total direct and indirect
costs associated with influenza in the USA
are roughly \$10 billion \cite{Lave}, and
the e... | {
"timestamp": "2005-06-16T18:55:40",
"yymm": "0503",
"arxiv_id": "q-bio/0503030",
"language": "en",
"url": "https://arxiv.org/abs/q-bio/0503030"
} |
\section{Introduction}
By the use of the method of Lagrangians with covariant derivatives (MLCD)
\cite{Manoff-1}, \cite{Manoff-1a} the different energy-momentum tensors and
the covariant Noether's identities for a field theory as well as for a theory
of continuous media can be found. On the basis of the $(n-1)+1$ proj... | {
"timestamp": "2005-03-11T13:07:31",
"yymm": "0503",
"arxiv_id": "physics/0503094",
"language": "en",
"url": "https://arxiv.org/abs/physics/0503094"
} |
\section{Introduction.}
We denote by $\mathbb{N}$ the set of nonnegative integers, by $\mathbb{K}$ a field
of characteristic zero. Let $I_{n} := \{ 1,2, \dots, n \}$.
We will use the natural one-to-one correspondence
between monomials $x^\alpha \in \mathbb{K}[x_{1}, \dots, x_{n}]$
and multiindices $\alpha \in \mathbb{... | {
"timestamp": "2005-03-30T11:07:04",
"yymm": "0503",
"arxiv_id": "math/0503701",
"language": "en",
"url": "https://arxiv.org/abs/math/0503701"
} |
\section*{DYNAMICS AND STATICS OF VORTICES ON A PLANE AND A SPHERE~---
I}\footnote{REGULAR AND CHAOTIC DYNAMICS V.~3, No.1, 1998\\Received October
1, 1997, revised manuscript received February 1, 1998}
\begin{centering}
A.\,V.\,BORISOV\\
Faculty of Mechanics and Mathematics,
Department of Theoretical Mechanics
Moscow ... | {
"timestamp": "2005-03-23T14:19:09",
"yymm": "0503",
"arxiv_id": "nlin/0503049",
"language": "en",
"url": "https://arxiv.org/abs/nlin/0503049"
} |
\section{Introduction}
\label{sec:introduction}
\subsection{The model}
\label{sec:the_model}
We observe $n$ pairs of random variables $(X_i, Y_i) \in \mathbb{R} \times
\mathbb{R}$ independent and identically distributed satisfying
\begin{equation}
\label{eq:regression_model}
Y_i = f(X_i) + \xi_i,
\end{equation}... | {
"timestamp": "2005-03-30T18:03:49",
"yymm": "0503",
"arxiv_id": "math/0503715",
"language": "en",
"url": "https://arxiv.org/abs/math/0503715"
} |
\section{Introduction and description of the results}\label{s1}
For a semigroup, $(S,\cdot)$, and an element, $a\in S$, one can consider the
{\em variant} $(S,*_a)$ of $S$, for which the {\em deformed} or {\em sandwich}
multiplication $*_a:S\times S\to S$ with the sandwich element $a$ is defined
as follows: $x*_ay... | {
"timestamp": "2007-08-30T20:40:59",
"yymm": "0503",
"arxiv_id": "math/0503489",
"language": "en",
"url": "https://arxiv.org/abs/math/0503489"
} |
\section{Introduction}
Quantum computation currently attracts a lot of attention
since it is expected to solve some of computationally
hard problems for a conventional digital computer~\cite{ref:1}.
Numerous realizations of a quantum computer have been proposed to date.
Among others, a liquid-state NMR
(nuclear magn... | {
"timestamp": "2005-03-18T03:18:53",
"yymm": "0503",
"arxiv_id": "quant-ph/0503067",
"language": "en",
"url": "https://arxiv.org/abs/quant-ph/0503067"
} |
\section{Covariant cloner under local unitaries in dimension $d\times d$}
Following the ideas presented in \cite{LNFC04}, we seek for a cloning
transformation that (i) preserves separability, and (ii) maximizes
the entanglement of the two clones resulting from any ME input state.
We will characterize a cloner by consi... | {
"timestamp": "2005-03-16T13:02:28",
"yymm": "0503",
"arxiv_id": "quant-ph/0503148",
"language": "en",
"url": "https://arxiv.org/abs/quant-ph/0503148"
} |
\section{#1}}
\newcommand{\subsect}[1]{\subsection{#1}}
\newcommand{\subsubsect}[1]{\subsubsection{#1}}
\parskip=1ex
\oddsidemargin= -0.1cm
\evensidemargin= 0cm
\parindent=1.5em
\textheight=22cm
\textwidth=17cm
\def\begin{equation}{\begin{equation}}
\def\end{equation}{\end{equation}}
\def\begin{eqnarray}{\b... | {
"timestamp": "2005-03-08T05:55:20",
"yymm": "0503",
"arxiv_id": "quant-ph/0503075",
"language": "en",
"url": "https://arxiv.org/abs/quant-ph/0503075"
} |
\section{Introduction}
The field of atom optics has experienced a period of dramatic growth
recently, largely due to the success of experiments on Bose-Einstein
Condensation (BEC). \ The achievement of BEC itself was based largely
on the success of evaporative cooling\cite{evap,evap2}. Unfortunately,
evaporative cooli... | {
"timestamp": "2005-03-03T22:33:11",
"yymm": "0503",
"arxiv_id": "quant-ph/0503045",
"language": "en",
"url": "https://arxiv.org/abs/quant-ph/0503045"
} |
\section{Introduction}
Nonlinear physics of DNA has experienced an enormous development
in the previous years. There are many experimental data and
theoretical results published about the nonlinear properties of
DNA (for a review see, e.g., ~\cite{YAK}.
The DNA molecule is a discrete system consisting of many atom... | {
"timestamp": "2006-03-27T22:25:01",
"yymm": "0503",
"arxiv_id": "nlin/0503062",
"language": "en",
"url": "https://arxiv.org/abs/nlin/0503062"
} |
\section{Introduction}
The systematic solution to non-linear partial differential
equations has prohibited many advances in mathematics and physics.
These equations, contrary to standard theory and linear equations,
appear disparate and unsolvable in the general case. In the past the
solutions to these systems of eq... | {
"timestamp": "2005-03-25T05:29:28",
"yymm": "0503",
"arxiv_id": "physics/0503194",
"language": "en",
"url": "https://arxiv.org/abs/physics/0503194"
} |
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