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1c3f80094ccb80a8 | Icarus and His Wings
The ancient Greek myth of the flight of Icarus brings with it hard lessons even in modern times. If you already know this story, feel free to skip down to the bottom to view my takeaways on what we can glean from it. If you don’t this story, below is a short synopsis on what happens in the myth.
I... |
c1ef73d88489ac69 | Emergent Locality in Quantum Systems with Long Range Interactions Gauss Centre for Supercomputing e.V.
Emergent Locality in Quantum Systems with Long Range Interactions
Principal Investigator:
Fabien Alet (1) and David J. Luitz (2)
(1) Centre national de la recherche scientifique (CNRS), Toulouse University, France... |
888a1cb5134993fc | A Motivation for Quantum Computing
Quantum mechanics is one of the leading scientific theories describing the rules that govern the universe. It’s discovery and formulation was one of the most important revolutions in the history of mankind, contributing in no small part to the invention of the transistor and the lase... |
376eb593f33ca290 | Wave function collapse
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{{#invoke: Sidebar | collapsible }} In quantum mechanics, wave function collapse is said to occur when a wave function—initially in a superposition of several eigenstates—appears to reduce to a single eigenstate (by "observation"). It i... |
21ac6bb83713b7d4 | Towards an Ontology for Unified Knowledge: The Hypothesis of Logical Quanta.
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The weirdness of quantum mechanics
From the very beginning of quantum mechanics it was seen that there was something absurd about it. A hundred years later, we are still speaking about quantum paradoxes.1 There... |
f0a87660d859ebe7 | Klein Gordon Equation
Some articles on equation, klein, gordon equation, gordon:
Klein–Gordon Equation - Derivation
... The non-relativistic equation for the energy of a free particle is By quantizing this, we get the non-relativistic Schrödinger equation for a free particle, where is the momentum operator ( being th... |
6397f829a98d34a1 | previous home next
Timeline of Structural Theory
"The nature of the chemical bond is the problem at the heart of all chemistry"
Bryce L. Crawford Jr.
In large part the science of chemistry is concerned with modeling the chemical structure of matter and understanding the nature of the chemical bond. However, the chem... |
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How are the formulas in QM derived?
1. Sep 4, 2007 #1
I'm not quite familiar in QM. All I can see are formulas, I'm familiar with diff.calc., integral, & diff.equations.
Do most QM formulas use these methods in deriving their formulas? if not, what else?
2. jcsd
... |
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Unbounded operators in non-relativistic QM of one spin-0 particle
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What exactly are the axioms of non-relativistic QM of one spin-0 particle? The mathematical model we're working ... |
e7af23e34e11a3b2 | Time, Magic and the Self (I/III)
January 24, 2013 § Leave a comment
There is.
Isn’t it? Would you agree? Well, I would not. In other words, to say ‘There is.’ is infinitesimally close to a misunderstanding. Or a neglect, if you prefer. It is not the missing of a referent, though, at least not in first instance. The ... |
ca04a55ae492bd88 | Like us on Facebook and Follow us on Twitter
PowerPedia:Quantum Ring Theory
• 24 errors has been found on this page. Administrator will correct this soon.
Quantum Ring Theory (QRT) is a theory developed by Wladimir Guglinski between 1993 and 2004, published in a book form by the Bäuu Institute Press in August 20... |
e749b9e683a1d825 | Jump to: navigation, search
3D (left and center) and 2D (right) representations of the terpenoid molecule atisane.
In chemistry, a molecule is defined as a sufficiently stable electrically neutral group of at least two atoms in a definite arrangement held together by strong chemical bonds.[1][2] In organic chemistry... |
93c3466b9078d8d3 | Wednesday, February 10, 2010
“It is easy to explain something to a layman. It is easier to explain the same thing to an expert. But even the most knowledgeable person cannot explain something to one who has limited half-baked knowledge.” ------------- (Hitopadesha).
“To my mind there must be, at the bottom of it al... |
4d3140afc3071743 | Course Descriptions
First Year
Physics 125-1 Mechanics
• A. Vector kinematics, dynamics, free body problems, work-energy theorem, angular momentum, torque, conservation of energy and momentum, rigid body motion, rotating coordinate systems, central force fields and plane motion, two-body problems, gravity, Kepler'... |
434fe7f778a25ff9 | Wednesday, April 12, 2006
Shamanic travels and p-adic physics as physics of cognition and intentionality
Below an email sent this morning. I realized that I could add it to my blog as such (apart from correcting some typos, adding some clarifications, etc.) rather than wasting time to rewriting it and loosing some of... |
e71a9457a7b36177 | MS 1 Computer algebra
Computer algebra, or symbolic computation, is devoted to solving mathematical problems using exact manipulations and algebraic algorithms. This also involves their implementation in software and hardware as well as applications. Modern computer algebra systems make a wide range of areas of pure m... |
7ad62b2ef700cfd5 | Schrödinger representation
From Encyclopedia of Mathematics
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One of the basic possible (together with the Heisenberg representation and the interaction representation (cf. Interaction, representation of)) equivalent representations of the dependence on time of operators and wave functions i... |
71af65722b16ce9c | Let’s question it’?’
ವಿಜ್ಞಾನ ಸಮ್ಮೇಳನದಲ್ಲಿ ಬಂದ ಸಂಪನ್ಮೂಲ ವ್ಯಕ್ತಿಗಳೆಲ್ಲಾ, ಎಲ್ಲದಕ್ಕೂ ‘ಶಾಸ್ತ್ರಾ, ಶಾಸ್ತ್ರಾ ಎಂದು ಹೇಳುತ್ತಿದ್ದರು. ಅಂದರೆ, ಭೌತ ಶಾಸ್ತ್ರಾ, ರಸಾಯನ ಶಾಸ್ತ್ರಾ, ಖಗೋಳ ಶಾಸ್ತ್ರಾ ಅಂತ. ಅಲ್ಲಾ, ಯಾಕೋ ನನಗೆ ಈ ಶಾಸ್ತ್ರಾ ಅನ್ನೋ ಪದವೇ ಸಮಂಜಸ ಅಲ್ಲಾ ಅನ್ನಿಸುತ್ತಿದೆ. ಏಕೆಂದರೆ, ವಿಜ್ಞಾನಕ್ಕಿರುವ ಮೂಲಭೂತ ಸ್ವಾತಂತ್ರ್ಯ ‘ಪ್ರಶ್ನೆ’ ಮಾಡುವುದು,
ಯಾವುದಾದರು ವಿಷ... |
7f0169022b322808 | 717-2160/01 – Quantum Physics I (KFI)
Gurantor departmentDepartment of PhysicsCredits4
Subject guarantorMgr. Jana Trojková, Ph.D.Subject version guarantorDoc. Dr.RNDr. Petr Alexa
Study levelundergraduate or graduate
Study languageCzech
Year of introduction2016/2017Year of cancellation2017/2018
Intended for the faculti... |
0910f2f008c44d7e | Last modified on 2 January 2013, at 10:20
Statistical Mechanics/The Foundations
The goal of statistical mechanics is to bridge the gap that exists between the microscopic and the macroscopic world. Take for example the equation governing the behaviour of microscopic particles: the quantum mechanical Schrödinger equa... |
8be8567556d42575 | path integral
Quantum field theory
physics, mathematical physics, philosophy of physics
Surveys, textbooks and lecture notes
theory (physics), model (physics)
experiment, measurement, computable physics
Measure and probability theory
Integration theory
under construction
The notion of path integral origina... |
efa7cd868642ee80 | We don’t usually think of chemicals as having shapes. But from the simple V of a water molecule to the intricate folds of a protein, the shape of a chemical compound plays a critical role in how it reacts with other molecules. For example, many drugs work by binding to specific receptors in cells, a process that depend... |
ebbccaccc84b75ba | 245 Responses to Open Thread Non-Petroleum, March 22, 2017
1. Science has proven that Republican Conservatives, (i.e. Right-Wing Ideologues), are just plain dumb. That is they have much lower cognitive ability than their much smarter counterparts, Liberal Democrats.
The below is a very extensive paper published... |
8e57d71d7d4646d7 | Open Access Highly Accessed Methodology
Data model, dictionaries, and desiderata for biomolecular simulation data indexing and sharing
Julien C Thibault1, Daniel R Roe2, Julio C Facelli1* and Thomas E Cheatham2
Author Affiliations
1 Department of Biomedical Informatics, University of Utah, Salt Lake City, UT, USA
... |
80c11da39b615836 | Chandrasekhar limit
From Wikipedia, the free encyclopedia
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The Chandrasekhar limit (/ʌndrəˈʃkɑr/) is the maximum mass of a stable white dwarf star. The limit was first indicated in papers published by Wilhelm Anderson and E. C. Stoner, and was named a... |
6587654985557cf9 | Take the 2-minute tour ×
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33 Answers 33
If $a$ and $b$ are positive integers, and you make the definition $$ a \cdot b = \underbrace{a + \cdots + a}_{b \text{ times} }$$ then it's a slightly surprising fact that $a \cdot b$ is actually equal to $b \cdot a$.
share|improve this answer... |
981a5c7d2496e8a8 | Tuesday, November 28, 2006
Chemistry (from Greek χημεία khemeia[1] meaning "alchemy") is the science of matter at the atomic to molecular scale, dealing primarily with collections of atoms, such as molecules, crystals, and metals. Chemistry deals with the composition and statistical properties of such structures, as ... |
9a7d69f5f513f53c | Take the 2-minute tour ×
In my notes, I have the Time Independent Schrodinger equation for a free particle $$\frac{\partial^2 \psi}{\partial x^2}+\frac{p^2}{\hbar^2}\psi=0\tag1$$
The solution to this is given, in my notes, as $$\Large \psi(x)=C e^\left(\frac{ipx}{\hbar}\right)\tag2$$
Now, since (1) is a second order... |
6462cf2399f163b0 | MaplePrimes Announcement
Reporting from Amsterdam, it's a pleasure to report on day one of the 2014 Maple T.A. User Summit. Being our first Maple T.A. User Summit, we wanted to ensure attendees were not only given the opportunity to sit-in on key note presentations from various university or college professors, high s... |
b7867c0fed52cbbd | Born rule
From Wikipedia, the free encyclopedia
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The Born rule (also called the Born law, Born's rule, or Born's law) formulated by German physicist Max Born in 1926, is a law of quantum mechanics giving the probability that a measurement on a quantum system ... |
a41f0dbd91512e84 | Nanoelectronic Modeling Lecture 11: Open 1D Systems - The Transfer Matrix Method
By Gerhard Klimeck1, Dragica Vasileska2, Samarth Agarwal3, Parijat Sengupta3
Published on
The 1D time independent Schrödinger equation can be easily solved analytically in segments of constant potential energy through the matching of ... |
2bde4d663b424cb4 | massXpert lets users analyse/predict mass spectrometric data on (bio)polymers. Notable features include ex nihilo polymer chemistry definitions, highly sophisticated editing of polymer sequences and chemical reaction simulations.
MAUD (Material Analysis Using Diffraction) is a general diffraction/reflectivity analysi... |
eb8a3870ae58bbd2 | Name Affiliation Daysort descending Title Abstract Presentation Article link
Benedetta Pellacci Università Napoli Parthenope Wednesday June 10 Saturable Schr|\"odinger equations and systems:Existence and related topics Abstract.pdf Pellacci_Porto_2015.pdf
Christos Sourdis University of Turin Friday June 12 Analysis of ... |
86f766fe9ef3b0a8 | Speed of light
From Wikiquote
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Speed of light The distance from the Sun to the Earth is shown as 150 million kilometers, an approximate average. Sizes to scale. Sunlight takes about 8 minutes 17 seconds to travel the average distance from the surface of the Sun to the Earth.
The speed of li... |
59723f181207d8af | Frontiers reaches 6.4 on Journal Impact Factors
Original Research ARTICLE
Front. Phys., 11 August 2014 |
Quantum features of a charged particle in ionized plasma controlled by a time-dependent magnetic field
• 1Department of Radiologic Technology, Daegu Health College, Daegu, Republic of Korea
• 2Laboratoire de... |
78c56ea948cf8909 | Why Probability in Quantum Mechanics is Given by the Wave Function Squared
Born Rule: \mathrm{Probability}(x) = |\mathrm{amplitude}(x)|^2.
The Born Rule is certainly correct, as far as all of our experimental efforts have been able to discern. But why? Born himself kind of stumbled onto his Rule. Here is an exce... |
6e741670e94c9848 | The "Diamond Age"
First came the Stone age, followed by the Bronze age, which yeilded to the Iron Age (AKA "Industrial Age"). Enter the Diamond age, with the ability to create not only nano-sized diamonds of high purity, but assemble materials atom by atom.
My Pages
Important Forces
Vibration in CO2 Molecule
Impo... |
68bddb2d424afa2e | A simple discussion on Quantum Mechanics and "Quantum Teleportation".
Date : 6 Januari, 2015
Version: 1.5
By: Albert van der Sel
Status: Ready.
Remark: Please refresh the page to see any updates.
Some nice theories from physics... Let's explore "Quantum Teleportation"...
Let's take a look at something that's really ... |
5ae3e8de910220d2 | Relational quantum mechanics
From Wikipedia, the free encyclopedia
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This article is intended for those already familiar with quantum mechanics and its attendant interpretational difficulties. Readers who are new to the subject may first want to read the introduction to quantum mechanics.
Re... |
e5a140cc4ea59eec | Tuesday, April 29, 2008
Pop goes the housing bubble
Figure via Calculated Risk. Larger version here
I believe the outlines of the bust are becoming as visible as the bubble itself was to any astute observer a few years ago. But no bottom yet! If I had to guess, I'd say we are going to give back most of the integral ... |
5a18ea8d7f93acab | General Chemistry
Intermolecular Forces
Be prepared to describe and identify the intermolecular/interparticle forces present in matter and relate these forces to the relative magnitude of physical properties such as vapor pressure, boiling point, melting point, viscosity, surface tension, and solubility.
Be prepare... |
b8a6db56e6576685 | Oregon State UniversitySpecial Collections & Archives Research Center
“A Liking for the Truth: Truth and Controversy in the Work of Linus Pauling.”
February 28, 2001
Video: Keynote Address: “Timing in the Invisible,” Part 1 Ahmed Zewail
Get the Flash Player to see this video.
41:54 - Abstract | Biography | More Vi... |
0192da323c174237 | Quantum Monte Carlo
Quantum Monte Carlo
Quantum Monte Carlo
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Quantum Monte Carlo is a large class of computer algorithms that simulate quantum systems with the idea of solving the quantum many... |
27a103958c99f46a | Divine Neutrality, Blog. Science, Philosophy
Measurement Problem
December 11th, 2007
A commonplace computational practice in quantum mechanics generates the most profound conceptual challenge to the theory. The challenge is called the measurement problem. Here are some quotes summarizing the problem.
“The quantum m... |
91719c64b2f85724 | Online Test Banks
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Measuring the Energy of Bound and Unbound Particles
In quantum physics, you can solve for the allowable energy st... |
b9e7e5b501f523f0 | Take the 2-minute tour ×
Is randomness based on lack of knowledge or behavior of universe is true random?
Or in other words,
are the allegation by EPR about hidden variable in the QM theory justifiable? What evidence can disprove/prove EPR?
share|improve this question
The question is very vast and more philosophica... |
ca616993b3de9b9f | Friday, March 29, 2019
Proving the Periodic Table
The year 2019 is the International Year of the Periodic Table celebrating the 150th anniversary of Mendeleev's discovery. This prompts me to report on something that I learned in recent years when co-teaching "Mathematical Quantum Mechanics" with mathematicians in par... |
46a0e4fbb0df9ebd | I don't understand something about the Heisenberg and interaction picture, in my notes the time evolution of operators for the Heisenberg and interaction picture is derived, by inserting them into the Schrödinger equation...
My question is: Doesn't the SE only give the time evolution of states and not operators?
In m... |
dcd8c99042d3b947 | Abraham Meets Abraham from a Parallel Universe
And he [Abraham] lifted up his eyes and looked, and, lo, three men stood over against him… (Gen. 18:2) On this blog, we often discuss the collapse of the wavefunction as the result of a measurement. This phenomenon is called by some physicists the “measurement problem.” ... |
77e36b92ab31a881 | Introduction to Doug's RSt
Discussion of Larson Research Center work.
Moderator: dbundy
Posts: 150
Joined: Mon Dec 17, 2012 9:14 pm
Re: Introduction to Doug's RSt
Post by dbundy » Wed Oct 19, 2016 2:10 pm
Now that our RSt has a basis for calculating the discrete levels of energy transitions observed in Hydrogen, ... |
8a2b56667aa6011f | Leveling Up
August 7, 2019
If there’s anyone left still following along after all the extended silences and affirmative responses to the “are you still in school” question, it’s time to check in with what I’m doing now. While I did, in fact, graduate with some degrees a while back there’s still a long way to go on th... |
a111277dcebb527c | Thursday, April 25, 2019
Yes, scientific theories have to be falsifiable. Why do we even have to talk about this?
The task of scientists is to find useful descriptions for our observations. By useful I mean that the descriptions are either predictive or explain data already collected. An explanation is anything that ... |
9d93d1a1916fa8ac | Quantum field theory
From Wikipedia, the free encyclopedia
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In theoretical physics, quantum field theory (QFT) is a theoretical framework that combines classical field theory, special relativity, and quantum mechanics[1]:xi and is used to construct physical models of subatomic particl... |
ded120a2c084229e | Path integral formulation
This formulation has proven crucial to the subsequent development of theoretical physics, because manifest Lorentz covariance (time and space components of quantities enter equations in the same way) is easier to achieve than in the operator formalism of canonical quantization. Unlike previo... |
37c44b8e5b7a740c | As always, the best way to get some intuition about an equation is to solve it for some simple cases, so let's give that a try with different fixed potentials.
Video 1. Simulation of the time-dependent Schrodinger equation (JavaScript Animation) by Coding Physics (2019) Source.
Source code: One dimensional potentials, ... |
b823db5a0e377140 | A Look into Arizona Ballot Forensics
At Gateway Pundit is an article explaining the techniques for validating ballots used in 2020 elections Maricopa County Auditor Bob Hughes Shares How They Are Using High Tech Forensic Digital Cameras and OCR to Validate Ballots. Excerpts in italics with my bolds.
Any massive vot... |
37fbfa4cf4cf22e1 | Who Wants Pi?
Today is Pi Day, and not the fruity, creamy or custardy kind with the sweet filling and tender crust. Nope, it’s the math kind of pi, the 3.14159… I don’t know the rest because I never memorized past the 9!
The Greek symbol π, or Pi, represents that elusive number that goes on forever, the quotient foun... |
7a436ad55ae0ac1c | @misc{5400, abstract = {We consider partially observable Markov decision processes (POMDPs) with ω-regular conditions specified as parity objectives. The class of ω-regular languages extends regular languages to infinite strings and provides a robust specification language to express all properties used in verification... |
3c91d00773f309d0 | The amazing engineering of Fractons
fracton is a collective quantized vibration on a substrate with a fractal structure.[1][2]
Fractons are the fractal analog of phonons. Phonons are the result of applying translational symmetry to the potential in a Schrödinger equation. Fractal self-similarity can be thought of as ... |
031e6ca934be07cc | Ground state
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1D ground state has no nodes
In 1D the ground state of the Schrödinger equation has no nodes. This can be proved considering an average energy in the state with a node at , i.e. . Consider the average energy in this state
where is the pote... |
d49ffb1e0ddb78a0 | Molecular Geometry
Get Molecular Geometry essential facts below. View Videos or join the Molecular Geometry discussion. Add Molecular Geometry to your PopFlock.com topic list for future reference or share this resource on social media.
Molecular Geometry
Geometry of the water molecule with values for O-H bond length a... |
07f3bd3790099b68 | Open main menu
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Through the work of Max Planck, Albert Einstein, Louis de Broglie, Arthur Compton, Niels Bohr and many others, current scientific theory holds that all particles exhibit a wave nature (and vice versa).[2] This phenomenon has been verified not only for elementary particles, but also for co... |
50b98a9e0da8d8fc | Interpreting the Quantum World I: Measurement & Non-Locality
In previous posts Aron introduced us to the strange, yet compelling world of quantum mechanics and its radical departures from our everyday experience. We saw that the classical world we grew up with, where matter is composed of solid particles governed by s... |
19186ad5ebba6429 | Double slit experiment
Discussion in 'Physics & Math' started by Xmo1, Nov 15, 2016.
1. Xmo1 Registered Senior Member
I think the interpretation of the double slit experiment is wrong. If you aim your photon or electron at the center between the two slits it will go someplace (roll toward a slit lets say). In ... |
3d127dfdfef65a14 | Take the 2-minute tour ×
I have solved the Schrödinger equation for a triangular well potential and the solution comes in terms of Airy functions...now i am facing the following problems: What are the normalization constants of Airy functions?
What are the asymptotic forms Airy functions?
How to find the matrix elem... |
36f5cae07b9df77b | Monday, March 8, 2010
Rogue Waves
Today I ran across an interesting essay on our changing understanding of scurvy. As often happens when you learn history better, the simple narratives turn out to be wrong. And you get strange things where as science progressed it discovered a good cure for scurvy, they lost the cure... |
e480e682fa7a9a11 | Reflections on Quantum Backflow
Yesterday afternoon I attended a very interesting physics seminar by the splendidly-named Gandalf Lechner of the School of Mathematics here at Cardiff University. The topic was one I’d never thought about before, called quantum backflow. I went to the talk because I was intrigued by the... |
e1f8962e52912c23 | Open Access
• L Villegas-Lelovsky1, 2Email author,
• MD Teodoro1, 3,
• V Lopez-Richard1,
• C Calseverino1, 4,
• A Malachias4,
• E MaregaJr3, 5,
• BL Liang3, 7,
• Yu I Mazur3,
• GE Marques1,
• C Trallero-Giner6 and
• GJ Salamo3
Nanoscale Res Lett20106:56
DOI: 10.1007/s11671-010-9786-8
Received:... |
67d3fe8886e838aa | What's New
About the Project
33 Coulomb FunctionsPhysical Applications
§33.22 Particle Scattering and Atomic and Molecular Spectra
§33.22(i) Schrödinger Equation
With e denoting here the elementary charge, the Coulomb potential between two point particles with charges Z1e,Z2e and masses m1,m2 separated by a distanc... |
57c77c27295bf840 |
Blog on Math Blogs
Math in the Media 1001
Mail to a friend · Print this article · Previous Columns
Tony PhillipsTony Phillips' Take on Math in the Media
A monthly survey of math news
October 2001
*The Gordian unknot. Alexander the Great cut the knot in 333 BC, and thereby destroyed important mathematical evidence. ... |
7ec16aeeaa14a6f3 | You are currently browsing the tag archive for the ‘RAGE theorem’ tag.
Perhaps the most fundamental differential operator on Euclidean space {{\bf R}^d} is the Laplacian
\displaystyle \Delta := \sum_{j=1}^d \frac{\partial^2}{\partial x_j^2}.
The Laplacian is a linear translation-invariant operator, and as such is n... |
5082e852dacce79a |
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We're making a video presentation on the topic of eigenvectors and eigenvalues. Unfortunately we have only reached the theoretical part of the discussion. Any comments on practical applications would be appreciated.
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fab2c8a25d0c025e | Time evolution of the density operator next up previous
Next: The quantum equilibrium ensembles Up: Principles of quantum statistical Previous: The density matrix and
Time evolution of the density operator
The time evolution of the operator tex2html_wrap_inline509 can be predicted directly from the Schrödinger equati... |
997e45a0895b3c9d | Electron configuration
From Wikipedia, the free encyclopedia - View original article
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Electron atomic and molecular orbitals
A Bohr Diagram of lithium
In atomic physics and quantum chemistry, the electron configuration is the distribution of electrons of an atom or molecule (or other physi... |
a3c53b0d64111f2e | Erwin Schrödinger
Erwin Schrödinger
[shroh-ding-er, shrey-; Ger. shrœ-ding-uhr]
Schrödinger, Erwin, 1887-1961, Austrian theoretical physicist. He was educated at Vienna, taught at Breslau and Zürich, and was professor at the Univ. of Berlin (1927-33), fellow of Magdalen College, Oxford (1933-36), and professor at the... |
31c1e6247e248b42 | Online Test Banks
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Determining the Radial Part of a Wave Function
In quantum physics, you can determine the radial part of a wave fu... |
16030d51a826b8a2 | Schrödinger equation
From Wikipedia, the free encyclopedia
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For a more general introduction to the topic, see Introduction to quantum mechanics.
In quantum mechanics, the Schrödinger equation is a partial differential equation that describes how the ... |
ef323abbffc8a22e | Take the 2-minute tour ×
Teaching graduate analysis has inspired me to think about the completeness theorem for Fourier series and the more difficult Plancherel theorem for the Fourier transform on $\mathbb{R}$. There are several ways to prove that the Fourier basis is complete for $L^2(S^1)$. The approach that I find... |
1d24d06f87fcafa6 | Archive for January, 2009
Physics Friday 57
January 30, 2009
Consider a single particle wavefunction (in the position basis) . Then for a volume V, the probability P that the particle will be measured to be in V is
The time derivative of this is:
Now, we recall that , where * indicates the complex conjugate. Thus, ... |
464604a4020b5f34 | The One-Dimensional Finite-Difference Time-Domain (FDTD) Algorithm Applied to the Schrödinger Equation
The code below illustrates the use of the FDTD algorithm to solve the one-dimensional Schrödinger equation for simple potentials. It only requires Numpy and Matplotlib.
All the mathematical details are described in ... |
81b26c5df9026c7a | You are currently browsing the monthly archive for August 2008.
This month I am at MSRI, for the programs of Ergodic Theory and Additive Combinatorics, and Analysis on Singular Spaces, that are currently ongoing here. This week I am giving three lectures on the correspondence principle, and on finitary versions of er... |
3634f137a37d8a02 | Discover Dialogue: Chemist George Whitesides
What is intelligence? Where does life come from? Those are the big questions
By David Ewing Duncan|Wednesday, December 03, 2003
Photograph by Brian Finke
George Whitesides, 64, is the Mallinckrodt Professor of Chemistry at Harvard University. He is a Renaissance thinker ... |
d70da9278c9df29c |
Cheat Sheet
Quantum Physics For Dummies
In dabbling in quantum physics, you come across spin operators and commutation relationships, and many formulae, principles, and effects named for people such as the Hamiltonian, the Heisenberg Uncertainty Principle, the Schrödinger Equation, and the Compton Effect.
Quantum ... |
fc34686e200d972e | Molecular orbital diagram
From Wikipedia, the free encyclopedia
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A molecular orbital diagram, or MO diagram, is a qualitative descriptive tool explaining chemical bonding in molecules in terms of molecular orbital theory in general and the linear combination of atomic orbitals (LCAO) molecu... |
d1795c156c9d0358 | Go to previous page Go up Go to next page
3 Basic Concepts and Solutions
In this section we present the basic framework for general relativity in higher dimensions, beginning with the definition of conserved charges in vacuum, i.e., mass and angular momentum, and the introduction of a set of dimensionless variables t... |
29c5966a46c4645f | Nat Comm 2012, 3:1108 CrossRef 4 Lal S, Link S, Halas N: Nano-op
Nat Comm 2012, 3:1108.CrossRef 4. Lal S, Link S, Halas N: Nano-optics
from sensing to waveguiding. Nat Photonics 2007, 1:641–648.CrossRef 5. Martin-Cano D, Martin-Moreno L, García-Vidal F, Moreno E: Resonance energy transfer and superradiance mediated b... |
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Classical Field Theory
A field in physics is something that associates with each point in space and with each instance in time a quantity.
The easiest way to think about a classical field is as a mattress. A mattress consists of many point masses that are connected by sprin... |
93078662c8fe5dce | We connect to each other through particles. Calls and texts ride flecks of light, Web sites and photographs load on electrons. All communication is, essentially, physical. Information is recorded and broadcast on actual objects, even those we cannot see.
Physicists also connect to the world when they communicate with ... |
021be26e508049ca | Science X Newsletter Week 52
Dear ymilog,
Here is your customized Science X Newsletter for week 52:
Korean artificial sun sets the new world record of 20-sec-long operation at 100 million degrees
The Korea Superconducting Tokamak Advanced Research (KSTAR), a superconducting fusion device also known as the Korean ar... |
96a038880aa4ef88 | Clifford algebra
In mathematics, a Clifford algebra is an algebra generated by a vector space with a quadratic form, and is a unital associative algebra. As K-algebras, they generalize the real numbers, complex numbers, quaternions and several other hypercomplex number systems.[1][2] The theory of Clifford algebras is... |
7b8f5c5f7f3ee8c5 | Graduate School
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Graduate school in physics or related fields generally refers to a post-baccalaureate education sequence where a student earns their doctorate degree, or Ph.D. Unlike a baccalaureate whose requirements primarily focus on classes, Ph.D. programs focus on an orig... |
008b3db9d715eed3 | Take the 2-minute tour ×
In mathematical derivations of physical identities, it is often more or less implicitly assumed that functions are well behaved. One example are the Maxwell identities in thermodynamics which assume that the order of partial derivatives of the thermodynamic potentials is irrelevant so one can ... |
9c2af0a48d109ed5 | Shielding effect
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The shielding effect describes the attraction between an electron and the nucleus in any atom with more than one electron shell. It is also referred to as the screening effect or atomic shielding.
In hydrogen-like atoms (those with o... |
39c683df05b8aaa7 | Peregrine soliton
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3D view of the spatio-temporal evolution of a Peregrine soliton
The Peregrine soliton (or Peregrine breather) is an analytic solution of the nonlinear Schrödinger equation.[1] This solution has been proposed in 1983 by Howell Peregrin... |
937d25daa79bdf9e | Psychology Wiki
Measurement problem
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The measurement problem is the key set of questions that every interpretation of quantum mechanics must answer. The problem is that the wavefunction in quantum mechanics evolves ac... |
96a8c358c56fc9b7 | Stationary state
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Main articles: quantum state and wavefunction
In quantum mechanics, a stationary state is an eigenvector of the Hamiltonian, implying the probability density associated with the wavefunction is... |
d2a99e79c2f7d9b2 | Take the 2-minute tour ×
Does anybody know if there exists a mathematical explanation of Mendeleev table in quantum mechanics? In some textbooks (for example in "F.A.Berezin, M.A.Shubin. The Schrödinger Equation") the authors present quantum mechanics as an axiomatic system, so one could expect that there is a deducti... |
811909731cc7e5f1 | History of quantum mechanics
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10 influential figures in the history of quantum mechanics. Left to right:
The history of quantum mechanics is a fundamental part of the history of modern physics. Quantum mechanics' history, as it interlaces with the histo... |
9a7d69f5f513f53c | Take the 2-minute tour ×
In my notes, I have the Time Independent Schrodinger equation for a free particle $$\frac{\partial^2 \psi}{\partial x^2}+\frac{p^2}{\hbar^2}\psi=0\tag1$$
The solution to this is given, in my notes, as $$\Large \psi(x)=C e^\left(\frac{ipx}{\hbar}\right)\tag2$$
Now, since (1) is a second order... |
f8f7835f48711716 | Time Evolution
The Time Evolution node is one of the building blocks to observe the dynamics of a system over time. It is inserted inside a time loop which evolves an initial state by solving the time-dependent Schrödinger equation (TDSE).
The node has the following inputs:
• Initial State ($\psi_{0}$): An ini... |
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