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9,100 | A Note on the Relativistic Covariance of the $B-$ Cyclic Relations | physics.class-ph | It is shown that the Evans-Vigier modified electrodynamics is compatible with
the Relativity Theory. | physics |
9,101 | Classical $v_{gr} \neq c$ solutions of Maxwell equations and the tunneling photon effect | physics.class-ph | We propose a very simple but general method to construct solutions of Maxwell
equations propagating with a group velocity $v_{gr} \neq c$. Applications to
wave guides and a possible description of the known experimental evidences on
photonic tunneling are discussed. | physics |
9,102 | Nonlinear Maxwell Equations | physics.class-ph | A new relativistic invariant version of nonlinear Maxwell equations is
offerred. Some properties of these equations are considered. | physics |
9,103 | Mechanical interpretation of existence theorems in a nonlinear Dirichlet problem | physics.class-ph | The existence of radial solutions of a nonlinear Dirichlet problem in a ball
is translated to the language of Mechanics, i.e. to requirements on the time of
motion of a particle in an external potential and under the action of a
viscosity force. This approach reproduces existing theorems and, in principle,
provides a m... | physics |
9,104 | An Approach to Maxwell Equations in Uniformly Accelerated Spherical Coordinates by Newman-Penrose Method | physics.class-ph | Variables are separated in Maxwell equations by the Newman-Penrose method of
isotropic complex tetrade in the uniformly accelerated spherical coordinate
system. Particular solutions are obtained in terms of spin 1 spherical
harmonics. PACS: 03.50.De | physics |
9,105 | Theorem on the proportionality of inertial and gravitational masses in classical mechanics | physics.class-ph | We considered the problem of the proportionality of inertial and
gravitational masses in classical mechanics. We found that the kinetic energy
of a material mass point m in a circular motion with a constant angular
velocity around another material point M depends only on its gravitational
mass. This fact, together with... | physics |
9,106 | To Foundations of Classical Electrodynamics | physics.class-ph | In the present work foundations of the law of the energy conservation and the
introduction of particles in the classical electrodynamics are discussed. We
pay attention to a logic error which takes place at an interpretation of the
Poynting's theorem as the law of conservation of energy. It was shown that the
laws of c... | physics |
9,107 | Long Wavelength Broadband Sources of Coherent Radiation | physics.class-ph | Some considerations of long wavelength and broadband radiation sources based
on the emission of the coherent radiation by a train of short relativistic
electron bunches moving in an open resonator along an arc-like or undulator
trajectories and some new versions of the transition radiation sources and long
wavelength s... | physics |
9,108 | Asymptotic conditions of motion for radiating charged particles | physics.class-ph | Approximate asymptotic conditions on the motion of compact, electrically
charged particles are derived within the framework of general relativity using
the Einstein- Infeld-Hoffmann (EIH) surface integral method. While
superficially similar to the Abraham-Lorentz and Lorentz-Dirac (ALD) equations
of motion, these condi... | physics |
9,109 | The geometry of spacetime with superluminal phenomena | physics.class-ph | Recent theoretical results show the existence of arbitrary speeds (0 <= v <
\infty) solutions of all relativistic wave equations. Some recent experiments
confirm the results for sound waves. The question arises naturally: What is the
appropriate geometry of spacetime to describe superluminal phenomena? In this
paper we... | physics |
9,110 | Launching of Non-Dispersive Superluminal Beams | physics.class-ph | In this paper we analyze the physical meaning of sub- and superluminal
soliton-like solutions (as the X-waves) of the relativistic wave equations and
of some non-trivial solutions of the free Schr\"odinger equation for which the
concepts of phase and group velocities have a different meaning than in the
case of plane w... | physics |
9,111 | Hamiltonian Structure for Classical Electrodynamics of a Point Particle | physics.class-ph | We prove that, contrary to the common belief, the classical Maxwell
electrodynamics of a point-like particle may be formulated as an
infinite-dimensional Hamiltonian system. We derive well defined
quasi-Hamiltonian which possesses direct physical interpretation being equal to
the total energy of the composed (field + p... | physics |
9,112 | Speculations on the Evans-Comay Discussion | physics.class-ph | The Reply to G. W. Bruhn is added. | physics |
9,113 | Lateral Drift of Free Electrons | physics.class-ph | An experiment was conducted with the intent to detect the effect, if any, of
the hypothetical centricoris acceleration of freely spinning electrons by the
use of an electromagnet with its conductor firmly clamped between its two
attracting magnetic plates. It was theorized that the freely spinning electrons
were unifor... | physics |
9,114 | Grasers based on particle accelerators and on lasers | physics.class-ph | Grasers based on a stimulated emission of gravitational radiation by
relativistic charged particle beams in external fields and on a conversion of
laser radiation into gravitational one in the magnetic fields as well as
detectors are discussed. A scheme of the gravitational radiation not
accompanied by an useless inacc... | physics |
9,115 | The Dynamics of Charges Induced by a Charged Particle Traversing a Dielectric Slab | physics.class-ph | We studied the dynamics of surfacea and wake charges induced by a charged
particle traversing a dielectric slab. It is shown that after the crossing of
the slab first boundary, the induced on the slab surface charge (image charge)
is transformed into the wake charge, which overflows to the second boundary
when the part... | physics |
9,116 | Reply to the Comment on ``Theorem on the proportionality of inertial and gravitational masses in classical mechanics" | physics.class-ph | In the Comment [Eur. J. Phys., to be published] on our paper [Eur. J. Phys.
19 (1998) 1-6], the author declares that we claim that the ratio of inertial
mass to gravitational mass can be derived ex nihilo and that our paper was
published "by mistake". In this "Reply" we dispute the point of view of the
author. | physics |
9,117 | A Gauge-invariant Hamiltonian Description of the Motion of Charged Test Particles | physics.class-ph | New, gauge-independent, second-order Lagrangian for the motion of classical,
charged test particles is used to derive the corresponding Hamiltonian
formulation. For this purpose a Hamiltonian description of the theories derived
from the second-order Lagrangian is presented. Unlike in the standard approach,
the canonica... | physics |
9,118 | Equations of Motion from Field Equations and a Gauge-invariant Variational Principle for the Motion of Charged Particles | physics.class-ph | New, gauge-independent, second-order Lagrangian for the motion of classical,
charged test particles is proposed. It differs from the standard,
gauge-dependent, first order Lagrangian by boundary terms only. A new method of
deriving equations of motion from field equations is developed. When applied to
classical electro... | physics |
9,119 | Generalized Lorentzian Adjustment of Reference Frames and Waves of Transformation of Spacetime | physics.class-ph | It is demonstrated that any two reference frames (RFs), which are uniformly
and rectilinearly moving relative to each other, can be adjusted via (possibly
anisotropic) rescaling and re-synchronization so that the resulting pair of RFs
is Lorentzian; this statement remains true if the word "Lorentzian" is replaced
by "G... | physics |
9,120 | 1D Toy Model For Trapping Neutral Particles | physics.class-ph | We study, both classically and quantum-mechanically, the problem of a neutral
particle with spin, moving in one-dimension in an inhomogeneous magnetic field.
This problem serves for us as a toy model to study the trapping of neutral
particles. We identify K, the ratio between the precessional frequency of the
particle ... | physics |
9,121 | Stochastic Stokes' drift | physics.class-ph | Classical Stokes' drift is the small time-averaged drift velocity of
suspended non-diffusing particles in a fluid due to the presence of a wave. We
consider the effect of adding diffusion to the motion of the particles, and
show in particular that a non-zero time-averaged drift velocity exists in
general even when the ... | physics |
9,122 | An accelerated charge is also absorbing power | physics.class-ph | An accelerated classical point charge radiates at the Larmor power rate
$2e^2a^2/3$, leading to the expectation of an associated radiation reaction
force. The famous Abraham-Lorentz-Dirac proposal is plagued with difficulties.
Here we note a simple, amazing, and apparently overlooked fact: an accelerated
charge is also... | physics |
9,123 | A Proposal to Revise the Macroscopic Electromagnetic Theory | physics.class-ph | There are reasons to believe that implications of a certain paradox
introduced by Ginzburg and related problems have not been fully recognized.
Pertinent issues remain open and unresolved. There are instances when the
current widely used theory yields results having no physical meaning. As a
result, the current widely ... | physics |
9,124 | Stability of Uniform Rectilinear Motion of Charged Shell in Sommerfeld Model with Self-Action | physics.class-ph | It is proved that in classical electrodynamics the uniform rectilinear motion
of charged "rigid" sphere with self-action (Sommerfeld model) is stable. | physics |
9,125 | Superluminal motions (and microwave propagation) in Special Relativity: Solution of the causal paradoxes | physics.class-ph | Some recent experiments, performed at Berkeley, Cologne, Florence and Vienna
led to the claim that something seems to travel with a speed larger than the
speed c of light in vacuum. Various other experimental results seem to point in
the same direction: For instance, localized wavelet-type solutions of Maxwell
equation... | physics |
9,126 | Superluminal Signal Velocity | physics.class-ph | It recently has been demonstrated that signals conveyed by evanescent modes
can travel faster than light. In this report some special features of signals
are introduced and investigated, for instance the fundamental property that
signals are frequency band limited.
Evanescent modes are characterized by extraordinary ... | physics |
9,127 | Comment to the paper "The energy conservation law for electromagnetic field in application to problems of radiation of moving particles " | physics.class-ph | In the paper [B.M.Bolotovskii, S.N.Stoliarov, Uspekhi Fizicheskich Nauk,
v.162, No 3, p.195, 1992] the energy conservation law was applied to a problem
of radiation of a charged particle in an external electromagnetic field. The
authors consecutively and mathematically strictly solved the problem but
received wrong res... | physics |
9,128 | The energy conservation law in classical electrodynamics | physics.class-ph | In the framework of the classical Maxwell-Lorentz electrodynamics the energy
conservation law is reconsidered. | physics |
9,129 | One-Dimensional Motion of Sommerfeld Sphere in Potential Hole in Classical Electrodynamics: Inside the Hole | physics.class-ph | Equation of motion of Sommerfeld sphere in the one-dimensional potential
hole, produced by two equal charges on some distance from each other, is
numerically investigated. Two types of solutions are found: (i) damping
oscillations, (ii) oscillations without damping (radiationless motion).
Solutions with growing amplitu... | physics |
9,130 | On the Discontinuity of Electrostatic Fields Across a Planar Surface With Multipolar Surface Charge Density | physics.class-ph | We use covariance and dimensional analysis to find expressions for the
discontinuity of the potential and normal electric field across a flat surface
with multipolar charge surface density in vacuum. | physics |
9,131 | On the Darwin Lagrangian | physics.class-ph | In this paper we explore some surprising consequences of the retardation
effects of Maxwell's electrodynamics to a system of charged particles. The
specific cases of three interacting particles are considered in the framework
of classical electrodynamics. We show that the solutions of the equations of
motion defined by... | physics |
9,132 | Unified Expressions Of All Differential Variational Principles | physics.class-ph | This paper has been withdrawn by the authors because the paper is largely
revised and improved, and to appear in Mechanics Research Communications. | physics |
9,133 | Unified Expressions Of All Integral Variational Principles | physics.class-ph | In terms of the quantitative causal principle, this paper obtains a general
variational principle, gives unified expressions of the general, Hamilton,
Voss, H\"{o}lder, Maupertuis-Lagrange variational principles of integral style,
the invariant quantities of the general, Voss, H\"{o}lder, Maupertuis-Lagrange
variationa... | physics |
9,134 | On localization of acoustic waves | physics.class-ph | The paper presents a discussion on localization of acoustic waves. Some
important questions about wave localization are addressed. Particular attention
is paid to acoustic localization in liquid media containing many air-filled
bubbles. It is shown that an amazing collective behavior appears when
localization occurs. T... | physics |
9,135 | An axiomatic framework for classical particle mechanics without space-time | physics.class-ph | We present an axiomatic framework for non-relativistic classical particle
mechanics, inspired on Tati's ideas about a non-space-time description for
physics. The main advantage of our picture is that it allows us to describe
causality without any reference to elapsed time intervals. | physics |
9,136 | Electromagnetic radiation of the travelling spin wave propagating in an antiferromagnetic plate. Exact solution | physics.class-ph | The exact solution of radiation problem of a spin wave travelling in an
antiferromagnetic (AFM) plate was found. The spin wave with in-plane
oscillations of antiferromagnetism vector was considered. In this case the
magnetization vector is oscillating being perpendicular to the AFM plate and
depends on time and plane c... | physics |
9,137 | Equation of states for classical Coulomb systems. The use of Hubbard-Schofield approach | physics.class-ph | An effective method based on Hubbard-Schofield approach [Phys. Lett. A {\bf
40}, 245 (1972)] is developed to calculate the free energy of classical Coulomb
systems. This method significantly simplifies the derivation of the cluster
expansion. A diagrammatic representation of the cluster integrals is proposed.
Simple ru... | physics |
9,138 | Entropy Decrease in Isolated Systems with an Internal Wall undergoing Brownian Motion | physics.class-ph | We consider an isolated gaseous system, divided in two parts by an adiabatic
movable frictionless internal wall undergoing Brownian motion. We show how this
kind of motion can lead to a substantial decrease of the system entropy. This
surprising result does not violate Boltzmann's H-theorem since the molecular
chaos as... | physics |
9,139 | Excitation Theory for Space-Dispersive Active Media Waveguides | physics.class-ph | A unified electrodynamic approach to the guided-wave excitation theory is
generalized to the waveguiding structures containing a hypothetical
space-dispersive medium with drifting charge carriers possessing simultaneously
elastic, piezoelectric and magnetic properties. Substantial features of our
electrodynamic approac... | physics |
9,140 | Acceleration-dependent self-interaction effects as a possible mechanism of inertia | physics.class-ph | The paper pursues two aims. First, to revisit the classical electromagnetic
mass theory and develop it further by making use of a corollary of general
relativity - that the propagation of light in non-inertial reference frames is
anisotropic. Second, to show that the same type of acceleration-dependent
self-interaction... | physics |
9,141 | Possible Self-Organised Criticality and Dynamical Clustering of Traffic flow in Open Systems | physics.class-ph | We focus in this work on the study of traffic in open systems using a
modified version of an existing cellular automaton model. We demonstrate that
the open system is rather different from the closed system in its 'choice' of a
unique steady-state density and velocity distribution, independently of the
initial conditio... | physics |
9,142 | Classical Tunneling as the Result of Retardation in Classical Electrodynamics: Nonrelativistic Case | physics.class-ph | In nonrelativistic approximation one-dimensional motion of Sommerfeld sphere
in the case of potential barrier is numerically investigated. The effect of
classical tunneling is confirmed once more - Sommerfeld sphere overcomes the
barrier and finds itself in the forbidden, from classical point of view, area. | physics |
9,143 | Exploring a rheonomic system | physics.class-ph | A simple and illustrative rheonomic system is explored in the Lagrangian
formalism. The difference between Jacobi's integral and energy is highlighted.
A sharp contrast with remarks found in the literature is pointed out. The
non-conservative system possess a Lagrangian not explicitly dependent on time
and consequently... | physics |
9,144 | Rutherford Scattering with Retardation | physics.class-ph | Numerical solutions for Sommerfeld model in nonrelativistic case are
presented for the scattering of a spinless extended charged body in a static
Coulomb field of a fixed point charge. It is shown that differential cross
section for extended body preserves the form of the Rutherford result with
multiplier, not equal to... | physics |
9,145 | Excitation of resonators by electron beams | physics.class-ph | In this paper the main consequences of the vector theory of excitation of
resonators by particle beams are presented. Some features of excitation of
broadband radiation in longitudinal modes of the enclosed and open resonators
are discussed. | physics |
9,146 | Limits on the Applicability of Classical Electromagnetic Fields as Inferred from the Radiation Reaction | physics.class-ph | Can the wavelength of a classical electromagnetic field be arbitrarily small,
or its electric field strength be arbitrarily large? If we require that the
radiation-reaction force on a charged particle in response to an applied field
be smaller than the Lorentz force we find limits on the classical
electromagnetic field... | physics |
9,147 | A bounded source cannot emit a unipolar electromagnetic wave | physics.class-ph | We show that a bounded source cannot produce a unipolar electromagnetic
pulse. As a consequence, there are no three-dimensional electromagnetic
solitons in vacuum. | physics |
9,148 | Classical Radiation Processes in the Weizsacker-Williams Approximation | physics.class-ph | The main features of radiation by relativistic electrons are well
approximated in the Weizsacker-Williams method of virtual quanta. This method
is best known for its application to radiation during elementary particle
collisions, but is equally useful in describing "classical" radiation emitted
during the interaction o... | physics |
9,149 | Lorentz-Covariant Hamiltonian Formalism | physics.class-ph | The dynamic of a classical system can be expressed by means of Poisson
brackets. In this paper we generalize the relation between the usual non
covariant Hamiltonian and the Poisson brackets to a covariant Hamiltonian and
new brackets in the frame of the Minkowski space. These brackets can be related
to those used by F... | physics |
9,150 | Ermakov-Lewis angles for one-parameter supersymmetric families of Newtonian free damping modes | physics.class-ph | We apply the Ermakov-Lewis procedure to the one-parameter damped modes
\tilde{y} recently introduced by Rosu and Reyes, which are related to the
common Newtonian free damping modes y by the general Riccati solution [H.C.
Rosu and M. Reyes, Phys. Rev. E 57, 4850 (1998), physics/9707019]. In
particular, we calculate and ... | physics |
9,151 | Technique for measuring the parameters of polarization of an ultrasonic wave | physics.class-ph | Method for precise measurements of the ellipticity and rotation of the
polarization of a transverse ultrasonic wave is presented. It is applicable for
investigating the acoustic analogs of the Faraday, Cotton-Mouton, and Kerr
effects. The technique consists of measuring amplitude of the voltage on the
receiving piezoel... | physics |
9,152 | Axioms for Mach's mechanics | physics.class-ph | We present an axiomatic framework for what we call Mach's mechanics, inspired
on the ideas by A. K. T. Assis and P. Graneau about relational mechanics. We
show that contrarily to what is suggested by these authors, Mach's principle
does not need to be committed with any Weber's like gravitational force.
Actually it is ... | physics |
9,153 | Experiments on the generation of long wavelength edge radiation along directions nearly coincident with the axis of a straight section of the "Pakhra" synchrotron | physics.class-ph | Generation of long wavelength edge radiation along directions nearly
coincident with the axes of straight sections of storage rings and synchrotrons
is discussed. The removal of destructive interference from the superimposed
edge radiation patterns of a straight section on the synchrotron "Pakhra" has
been observed exp... | physics |
9,154 | A Modified Theory Of Newtonian Mechanics | physics.class-ph | A specific form of the inertial law is presented by which we can have some
deeper insight into the essence of mass and inertia. In this modified theory,
there is no need to keep the concept of absolute space and Newton's third law
as principles. By introducing a convenient form for gravitational law the
coupling consta... | physics |
9,155 | Excitations of oscillations in loaded systems with internal degrees of freedom | physics.class-ph | We show that oscillations are excited in a complex system under the influence
of the external force, if the parameters of the system experience rapid change
due to the changes in its internal structure. This excitation is collision-like
and does not require any phase coherence or periodicity. The change of the
internal... | physics |
9,156 | A mechanical model that exhibits a gravitational critical radius | physics.class-ph | Circular orbits of a particle sliding on a frictionless surface of revolution
about a vertical axis are unstable below a critical radius if the curvature of
the surface satisfies a specified condition. This behavior can be realized in a
mechanical model, which give a glimpse of the greater complexity of particle
orbits... | physics |
9,157 | True Transformations of Spacetime Lengths and Apparent Transformations of Spatial and Temporal Distances. I. the Theory | physics.class-ph | It is shown in this paper that the difference between the two forms of
relativity - the ''true transformation (TT) relativity'' and - the ''apparent
transformation (AT) relativity'' is essentially caused by the difference in the
concept of \emph{sameness} of a physical system, i.e., of a physical quantity,
for differen... | physics |
9,158 | True Transformations of Spacetime Lengths and Apparent Transformations of Spatial and Temporal Distances. II. the Comparison with Experiments | physics.class-ph | Some of the well-known experiments: the ''muon'' experiment, the
Michelson-Morley type experiments, the Kennedy-Thorndike type experiments and
the Ives-Stilwell type experiments are analyzed using the nonrelativistic
theory, the ''apparent transformations (AT) relativity'' and the ''true
transformations (TT) relativity... | physics |
9,159 | On electromagnetic induction | physics.class-ph | A general law for electromagnetic induction phenomena is derived from Lorentz
force and Maxwell equation connecting electric field and time variation of
magnetic field. The derivation provides with a unified mathematical treatment
the statement according to which electromagnetic induction is the product of
two independ... | physics |
9,160 | Circular Orbits Inside the Sphere of Death | physics.class-ph | A wheel or sphere rolling without slipping on the inside of a sphere in a
uniform gravitational field can have stable circular orbits that lie wholly
above the "equator", while a particle sliding freely cannot. | physics |
9,161 | The Rolling Motion of a Disk on a Horizontal Plane | physics.class-ph | Recent interest in the old problem of the motion of a coin spinning on a
tabletop has focused on mechanisms of dissipation of energy as the angle alpha
of the coin to the table decreases, while the angular velocity Omega of the
point of contact increases. Following a review of the general equations of
motion of a thin ... | physics |
9,162 | From Superluminal Velocity To Time Machines? | physics.class-ph | Various experiments have shown superluminal group and signal velocities
recently. Experiments were essentials carried out with microwave tunnelling,
with frustrated total internal reflection, and with gain-assisted anomalous
dispersion. According to text books a superluminal signal velocity violates
Einstein causality ... | physics |
9,163 | Electromagnetic Induction and the Conservation of Momentum in the Spiral Paradox | physics.class-ph | The inversion of cause and effect in the classic description of
electromagnetism, gives rise to a conceptual error which is at the bottom of
many paradoxes and exceptions. At present, the curious fact that unipolar
induction or the Faraday Disc constitutes an exception to the Faraday induction
law is generally accepted... | physics |
9,164 | Space-Time Exchange Invariance: Special Relativity as a Symmetry Principle | physics.class-ph | Special relativity is reformulated as a symmetry property of space-time:
Space-Time Exchange Invariance. The additional hypothesis of spatial
homogeneity is then sufficient to derive the Lorentz transformation without
reference to the traditional form of the Principle of Special Relativity. The
kinematical version of t... | physics |
9,165 | Remarks on perturbation theory for Hamiltonian systems | physics.class-ph | A comparative discussion of the normal form and action angle variable method
is presented in a tutorial way. Normal forms are introduced by Lie series which
avoid mixed variable canonical transformations. The main interest is focused on
establishing a third integral of motion for the transformed Hamiltonian
truncated a... | physics |
9,166 | Coarse graining: lessons from simple examples | physics.class-ph | We assess Coarse Graining by studying different partitions of the phase space
of the Baker transformation and the periodic torus automorphisms. It turns out
that the shape of autocorrelation functions for the Baker transformation is
more or less reproduced. However, for certain partitions the decay rates turn
out to be... | physics |
9,167 | True energy-momentum tensors are unique. Electrodynamics spin tensor is not zero | physics.class-ph | A true energy-momentum tensor is unique and does not admit an addition of a
term. The true electrodynamics' energy-momentum tensor is the Maxwell-Minkowski
tensor. It cannot be got with the Lagrange formalism. The canonical
energy-momentum and spin tensors are out of all relation to the physical
reality. The true elect... | physics |
9,168 | About forces, acting on radiating charge | physics.class-ph | It is shown, that the force acting on a radiating charge is stipulated by two
reasons - owing to exchange of a momentum between radiating charge and
electromagnetic field of radiation, and also between a charge and field
accompanying the charge. | physics |
9,169 | Thoughtful comments on 'Bessel beams and signal propagation' | physics.class-ph | In this paper we present thoughtful comments on the paper `Bessel beams and
signal propagation' showing that the main claims of that paper are wrong.
Moreover, we take the opportunity to show the non trivial and indeed surprising
result that a scalar pulse (i.e., a wave train of compact support in the time
domain) that... | physics |
9,170 | On the superluminal propagation of light-pulses in a ''transparent'' dispersive medium | physics.class-ph | The mechanisms leading to a seemingly superluminal propagation of light in
dispersive media are examined. The anomalous dispersion near an absorption
line, involved in the first experiments displaying negative group velocity
propagation, is shown to be not only simpler but also more efficient than the
so-called transpa... | physics |
9,171 | Backward Causation, Isolation and the Pursuit of Justice | physics.class-ph | The recent operationalization of the famous Newcomb's game by Schmidt (1998)
offers an interesting and thought-provoking look at the plausibility of
backward causation in a Newtonian universe. Hereby we investigate two details
of the Schmidt's scenario which may, at least in principle, invalidate his
conclusion in two ... | physics |
9,172 | An analytically solvable three-body problem | physics.class-ph | The problem of three particles interacting through harmonic forces is
discussed within the Newtonian formalism. By means of a didactic approach, an
exact analytical solution is found, and ways to extend it to the N-body case
are pointed out. | physics |
9,173 | Creep and Mechanical Oscillator Damping | physics.class-ph | Although "friction" is included in many models of oscillator damping,
including viscous ones applied to the pendulum; they "miss the mark" with
regard to a conceptual understanding of the mechanisms responsible for energy
loss. The theory of the present paper corrects some of these misunderstandings
by considering the ... | physics |
9,174 | Newton's laws of motion in form of Riccati equation | physics.class-ph | We discuss two applications of Riccati equation to Newton's laws of motion.
The first one is the motion of a particle under the influence of a power law
central potential $V(r)=k r^{\epsilon}$. For zero total energy we show that the
equation of motion can be cast in the Riccati form. We briefly show here an
analogy to ... | physics |
9,175 | Mini-stop bands in single-defect photonic crystal waveguides | physics.class-ph | We numerically study single-defect photonic crystal waveguides obtained from
a triangular lattice of air holes in a dielectric background. It is found that,
for medium-high air filling ratios, the transmission has very small values in
narrow frequency regions lying inside the photonic band gap - the so-called
mini-stop... | physics |
9,176 | Numerical studies of left-handed materials and arrays of split ring resonators | physics.class-ph | We present numerical results on the transmission properties of the
left-handed materials (LHM) and split-ring resonators (SRR). The simulation
resultsare in qualitative agreement with experiments. The dependence of the
transmission through LHM on the real and imaginary part of the electric
permittivity of the metal, th... | physics |
9,177 | Determination of Effective Permittivity and Permeability of Metamaterials from Reflection and Transmission Coefficients | physics.class-ph | We analyze the reflection and transmission coefficients calculated from
transfer matrix simulations on finite lenghts of electromagnetic metamaterials,
to determine the effective permittivity and permeability. We perform this
analysis on structures composed of periodic arrangements of wires, split ring
resonators (SRRs... | physics |
9,178 | An electromagnetic trinity from "negative permittivity" and "negative permeability" | physics.class-ph | An electromagnetic trinity comprising vacuum, anti--vacuum, and nihility is
postulated -- after making use of materials with "negative permittivity" and
"negative permeability" -- to illuminate the structure of electromagnetic
theory, at least insofar as the relationship of phase velocity with Poynting
vector is concer... | physics |
9,179 | On Perfect Lenses and Nihility | physics.class-ph | The canonical problem of a perfect lens with linear bianisotropic materials
is formulated. Its solution is shown to be directly connected with the concept
of nihility, the electromagnetic nilpotent. Perfect lenses as well as nihility
remain unrealizable. | physics |
9,180 | Excitation of Resonators by Electron Beams | physics.class-ph | Elements of a vector theory of open resonators and experiments on excitation
of a fundamental mode with transverse and longitudinal polarization in such
resonators are discussed. | physics |
9,181 | The Stirling Engine-Refrigerator: Rich Pedagogy from Applied Physics | physics.class-ph | A Stirling engine of the type used for demonstration purposes has been
outfitted with a pair of sensors that measure pressure and piston displacement
when the engine is operating with a small temperature difference between the
hot and cold reservoirs. Measured variables are compared against computer
generated output ba... | physics |
9,182 | Microscopic Calculation of the Constitutive Relations | physics.class-ph | Homogenization theory is used to calculate the macroscopic dielectric
constant from the quantum microscopic dielectric function in a periodic medium.
The method can be used to calculate any macroscopic constitutive relation, but
it is illustrated here for the case of electrodynamics of matter. The so-called
cell proble... | physics |
9,183 | Motion of particles in storage rings in the presence of a counterpropagating laser beam I | physics.class-ph | The dynamics of charged particle beams interacting with laser beams and
material targets in storage rings is presented. Formulas for the radiative
damping, quantum excitation and equilibrium parameters of ion and electron
beams determined by the backward rayleigh and backward compton scattering are
derived. General cas... | physics |
9,184 | Problematic solutions to the Landau-Lifshitz equation | physics.class-ph | A critical look at the Landau-Lifshitz equation, which has been recently
advocated as an "exact" relativistic classical equation for the motion of a
point charge with radiation reaction, demonstrates that it generally does not
conserve energy-momentum. Its failure is dramatic in the one-dimensional case
of a stepped el... | physics |
9,185 | The Pendulum in the 21st Century--Relic or Trendsetter | physics.class-ph | When identifying instruments that have had great influence on the history of
physics, none comes to mind more quickly than the pendulum. Though 'birthed' by
Galileo in the 16th century, and in some respects nearly 'dead' by the middle
of the 20th century; the pendulum experienced 'rebirth' by becoming an
archetype of c... | physics |
9,186 | Is the Energy Balance Paradox Solved? | physics.class-ph | The question of what is the source of the energy carried by the radiation is
discussed. The case of a hyperbolic motion is analyzed, describing the
solutions suggested in the past for the "energy balance paradox". The solution
to the paradox is found in considerind the stress force created in the curved
electric field ... | physics |
9,187 | Toward a Universal Model of Damping--Modified Coulomb Friction | physics.class-ph | A modification of Coulomb's law of friction uses a variable coefficient of
friction that depends on a power law in the energy of mechanical oscillation.
Through the use of three different exponents: 0, 1/2 and 1; all commonly
encountered non-viscous forms of damping are accommodated. The nonlinear model
appears to yiel... | physics |
9,188 | Equation of Motion of an Electric Charge | physics.class-ph | The appearance of the time derivative of the acceleration in the equation of
motion (EOM) of an electric charge is studied. It is shown that when an
electric charge is accelerated, a stress force exists in the curved electric
field of the accelerated charge, and this force is proportional to the
acceleration. This stre... | physics |
9,189 | Diffusion-limited reaction for the one-dimensional trap system | physics.class-ph | We have previously discussed the one-dimensional multitrap system of finite
range and found the somewhat unexpected result that the larger is the number of
imperfect traps the higher is the transmission through them. We discuss in this
work the effect of a small number of such traps arrayed along either a constant
or a... | physics |
9,190 | The Kustaanheimo-Stiefel transformation in geometric algebra | physics.class-ph | The Kustaanheimo-Stiefel (KS) transformation maps the non-linear and singular
equations of motion of the three-dimensional Kepler problem to the linear and
regular equations of a four-dimensional harmonic oscillator. It is used
extensively in studies of the perturbed Kepler problem in celestial mechanics
and atomic phy... | physics |
9,191 | Oscillator damping with more than one mechanism of internal friction dissipation | physics.class-ph | The author's modified Coulomb damping model has been generalized to
accommodate internal friction that derives from several dissipation mechanisms
acting simultaneously. Because of its fundamental nonlinear nature, internal
friction damping causes the quality factor Q of an oscillator in free-decay to
change in time. E... | physics |
9,192 | Anisotropic Internal Friction Damping | physics.class-ph | The mechanical damping properties of sheet polaroid material have been
studied with a physical pendulum. The polaroid samples were placed under the
knife-edges of the pendulum, which was operated in free-decay at a period in
the vicinity of 10 s. With the edges oriented parallel to the direction of the
long molecular c... | physics |
9,193 | On the Derivation of Conserved Quantities in Classical Mechanics | physics.class-ph | Using a theorem of partial differential equations, we present a general way
of deriving the conserved quantities associated with a given classical point
mechanical system, denoted by its Hamiltonian. Some simple examples are given
to demonstrate the validity of the formulation. | physics |
9,194 | Second constant of motion for two-dimensional positronium in a magnetic field | physics.class-ph | Recent numerical work indicates that the classical motion of positronium in a
constant magnetic field does not exhibit chaotic behavior if the system is
confined to two dimensions. One would therefore expect this system to possess a
second constant of the motion in addition to the total energy. In this paper we
constru... | physics |
9,195 | Born renormalization in classical Maxwell electrodynamics | physics.class-ph | We define and compute the renormalized four-momentum of the composed physical
system: classical Maxwell field interacting with charged point particles. As a
`reference' configuration for the field surrounding the particle, we take the
Born solution. Unlike in the previous approach [Gen. Relat. Grav. 26 (1994)
167; Acta... | physics |
9,196 | The Euler-Lagrange Cohomology Groups on Symplectic Manifolds | physics.class-ph | The definition and properties of the Euler-Lagrange cohomology groups
$H^{2k-1}$, $1 \leqslant k \leqslant n$, on a symplectic manifold $({\cal
M}^{2n},\omega)$ are given and studied. For $k = 1$ and $k = n$, they are
isomorphic to the corresponding de Rham cohomology groups $H_{dR}^1({\cal
M}^{2n})$ and $H_{dR}^{2n-1}... | physics |
9,197 | Mie Coefficients in Double-layered Sphere Irradiated by a Planar Wave | physics.class-ph | Both the Mie coefficients and the electromagnetic field distributions in the
two-layered sphere containing left-handed media irradiated by a planar
electromagnetic wave are presented. | physics |
9,198 | A generalisation of classical electrodynamics for the prediction of scalar field effects | physics.class-ph | Within the framework of Classical Electrodynamics (CED) it is common practice
to choose freely an arbitrary gauge condition with respect to a gauge
transformation of the electromagnetic potentials. The Lorenz gauge condition
allows for the derivation of the inhomogeneous potential wave equations (IPWE),
but this also m... | physics |
9,199 | On stability of renormalized classical electrodynamics | physics.class-ph | It is shown that the total energy of the static "field + particle" system,
defined in the framework of classical, renormalized electrodynamics of
particles and fields, depends in an unstable way upon the field boundary data.
It is argued that this phenomenon may be also an origin of the unstable
dynamical behaviour of ... | physics |
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