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91f866d37729a54b | The Nature of the Wave Function in in the Time Independent Schroedinger Equation
San José State University
Thayer Watkins
Silicon Valley
& Tornado Alley
The Nature of the Wave Function
in the Time Independent
Schrödinger Equation
When Erwin Schrödinger formulated the wave mechanics version of quantum physics in 19... |
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Consider Schrödinger's time-independent equation $$ -\frac{\hbar^2}{2m}\nabla^2\psi+V\psi=E\psi. $$ In typical examples, the potential $V(x)$ has discontinuities, called potential jumps.
Outside these discontinuities of the potenti... |
bd758164a86759e6 | Materials in Electronics/Schrödinger's Equation
From Wikibooks, open books for an open world
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Schrödinger's Equation is a differential equation that describes the evolution of Ψ(x) over time. By solving the differential equation for a particular situation, the wave function can be found. It... |
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When we solve the Schrödinger equation on an infinite domain with a given potential $U$, much of the time the lowest possible energy for a solution corresponds to a non-zero energy. For example, for the simple harmonic oscillator wi... |
c51cf3ed513d8950 | Saturday, May 29, 2010
This weekend, I'll be on my way back to Sweden. My time here at Perimeter Institute turned out to be busier than expected, but it has also been very productive. It is somewhat sad that every time I come back more people I knew have left. Those postdocs who I spent my years with here have either... |
799fc02804120552 | Sunday Scribbles #31 - Bedtime Stories
Photobucket - Video and Image HostingOnce upon a time, in a Land filled with instant gratification, there lived an Urban Princess. The Princess was due at the Ball the next morning, but the excitement of it left her mind racing at night.
Each evening, the Princess lay her petite... |
8735322eed68769b | Sofja Kovalevskaja Award 2006 - Award Winners
Jens Bredenbeck
Molecule dynamics - mainspring of chemistry and biology
Elementary vital functions, chemical reactions, the behaviour of substances in our environment - the driving force behind all of these phenomena is the movement of molecules. Molecules interact and c... |
86c210c4533f4d25 | torsdag 28 februari 2013
Basic Evidence of Low Emissivity of CO2
A basic estimate of the radiative forcing of CO2 as atmospheric trace gas from its main resonance at wave number 667, can be obtained as follows from Planck's Law in the form
• R(n,T) = gamma T n^2 for n < 4T,
where n is wave number, T ~ 300 K is temp... |
c9ddd090ac1888d7 | Format: Paperback
Language: English
Format: PDF / Kindle / ePub
Size: 10.94 MB
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This corresponds to the following formula: This formulation is the most general form of Schrödinger equation. As every observation requires an energy exchange (photon) to create the observed 'data', some energy... |
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1. Learning Math really from scratch
You say you studied for grades in school. What is your goal this time, to study only enough maths so you can do the programming you're thinking of ri... |
294c9e33d7bb1aa0 | Modern Mathematical Physics: what it should be - Физический факультет СПбГУ
Санкт-Петербургский государственный университет
Modern Mathematical Physics: what it should beModern Mathematical Physics: what it should be
L. D. Faddeev
Steklov Mathematical Institute, St Petersburg 191011, Russia
When somebody ask... |
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Physical justification for Uncertainty principle
1. May 10, 2006 #1
Most popular or elementary textbook level expositions advance the following physical argument in favor of the uncertainty principle:
In order to observe a state we must disturb it. Thus we have cha... |
d6c3074c28da21fe |
25 Responses to “Calling all Quantum Theorists and Cosmologists who can be patient with innumerate humanists and theists…”
1. Janet Says:
Whoops! Gavin has already commented. You’ve got to see this over on the “conversation continues” comment thread! It’s hi-lar-i-ous….
2. Gavin Says:
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a3e70f1608394a7a | Package mpqc
Ab-inito chemistry program
MPQC is the Massively Parallel Quantum Chemistry Program. It computes
properties of atoms and molecules from first principles using the time
independent Schrödinger equation. It runs on a wide range of
architectures ranging from individual workstations to symmetric
multiprocess... |
ab49ede89dd9ed13 | Jan Vrbik
We show how a Monte Carlo procedure (based on random numbers) can generate a large sample of electron locations in any simple molecule. Based on this sampling, we can accurately estimate the molecule’s ground-state energy and other properties of interest. We demonstrate this using the LiH molecule.
Trial So... |
30e5c1d35ebb959a | Quantum many-particle dynamics in 1D with matrix product states
View the Project on GitHub amilsted/evoMPS
Tutorial videos:
evoMPS simulates time-evolution (real or imaginary) of one-dimensional many-particle quantum systems using matrix product states (MPS) and the time dependent variational principle (TDVP).
It... |
3a68a6359974cb0d | Take the 2-minute tour ×
I read about Fractional Quantum Mechanics and it seemed interesting. But are there any justifications for this concept, such as some connection to reality, or other physical motivations, apart from the pure mathematical insight?
If there are none, why did anyone even bother to invent it?
sha... |
2c465c2cc5d17eca | Gyromagnetic ratio
From Wikipedia, the free encyclopedia
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In physics, the gyromagnetic ratio (also sometimes known as the magnetogyric ratio in other disciplines) of a particle or system is the ratio of its magnetic dipole moment to its angular momentum, and it is often denoted by the symbo... |
7c6af14e52d512ca | Interaction picture
From Wikipedia, the free encyclopedia
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In quantum mechanics, the interaction picture (also known as the Dirac picture) is an intermediate representation between the Schrödinger picture and the Heisenberg picture. Whereas in the other two pictures either the state vector ... |
ff480f9bcc4c73f7 | WKB approximation
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(Redirected from WKB method)
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For other uses, see WKB (disambiguation).
In mathematical physics, the WKB approximation or WKB method is a method for finding approximate solutions to linear partial differential equations with spatiall... |
ab7692500c854151 | Welcome to Fuwanovel Forums
Our community blogs
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My upcoming project, The Last Birdling, alternates between Bimonia and Tayo’s perspectives. Today, I would like to explore some of the details behind this system. Your feedback is most welcome, and if you know of other visual novels that handle ... |
78953ad66851782e | History and Philosophy of Physics
1607 Submissions
[4] viXra:1607.0197 [pdf] submitted on 2016-07-16 18:47:40
Buenaventura Suarez the First American Astronomer in South America
Authors: Ramon Isasi
Comments: 11 Pages. Replacement of Version 2 and Version 1
In this short essay, we consider some details of the life ... |
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Rae §2.1, B&J §3.1, B&M §5.1 2.1 An equation for the matter waves: the time-dependent Schrődinger equation*** Classical wave equation (in one dimension):
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54dfff1507f63320 | Discussion 12 – Hydrogenic Atom : Radial Wavefunction ... Discussion 12 – Hydrogenic...
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I’ve just uploaded to the arXiv my paper “Almost all Collatz orbits attain almost bounded values“, submitted to the proceedings of the Forum of Mathematics, Pi. In this paper I returned to the topic of the notorious Collatz conjecture (also known as th... |
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Here’s How You Can Make Sense of Your SPM Results (UPDATED)
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Another tiny victory for electrons being magnetic monopoles? Solar corona temperature ‘explained’.
Since the official version of the electron is that it is a magnetic dipole, as such it cannot be accelerated by magnetic fields. But often people do not understand why but if I explain it... |
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The mathematical sciences play a vital part in all aspects of modern society. Without research and training in mathematics, there would be no engineering, economics or computer science; no smart phones, MRI scanners, bank accounts or PIN numbers. Mathematics is playing a key role in tackling ... |
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I Difference between field and wave equation
1. Jun 25, 2017 #1
Hello! I am reading some introductory stuff on Klein-Gordon equation and I see that the author mentions sometimes that in a certain context the K-G equation "is a classical field equation, not a quantum mec... |
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B Dirac Equation vs. Schrodinger Equation
1. Jul 18, 2016 #1
The Dirac equation is the more generalized form of the Schrodinger equation and accounts for relativistic effects of particle motion (say an electron) by using a second order derivative for the energy operator... |
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Time-independent Schrödinger equation, normalizing
1. Jun 20, 2017 #1
An electron coming from the left encounters/is trapped the following potential:
-a<x<0; V=0
0<x<a; V=V0
infinity elsewhere
the electron has energy V0
a)Write ou... |
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Faster than light or not
I don't know about the rest of the world but here in Germany Prof. Günter Nimtz is (in)famous about his display experiments that he claims show that quantum mechanical tunneling happens instantaneously rather than according to Einstein causality. In the past, he go... |
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Thomas Stocker's Defense of IPCC Climate Models at Variance with Observations
Global temperature increased according to observations in the periods 1920 - 40 and 1978 - 1996 with about 0.35 C, while the temperature was slightly decreasing in the periods 1880 - 1920, 1940 - 1978, 1997 - 2013.
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35c527fd400dffbc | Wave Packet Dynamics
Requires a Wolfram Notebook System
Requires a Wolfram Notebook System
Wave packet dynamics can be studied by pump-probe femtosecond spectroscopy of vibrations of molecules in excited states (see, e.g. A. Assion et al., Z. Phys. D, 36, 1996 pp. 265–271). As a simple example, consider a superpos... |
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At present, there are two methods to method chemistry problems: computational quantum chemistry and non-computational quantum chemistry Computational quantum chemistry is mostly concerned with the numerical computation of molecular electronic structures by ab initio and semi-empirical tactics and... |
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LUCIFER in the Temple of the Dog I
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Every story has a beginning and an end, everything in between is just a story…
The oldest stories known come from the Aborigine people of Australia. Their stories go back at least thirty thousand years. They are pas... |
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What can quantum computers do? In this post, we explore the concept of many-body problem in quantum chemistry that may be one of the most immediate applications of quantum computers and quantum machine learning. A main goal of quantum chemistry is to predict the structure, stabili... |
b15e210268621461 | Neutrons Optical Devices
September 22, 2015 9:27 am Published by
Optics deals with waves and their transformation by objects, i.e., scattering. Accordingly, since quantum mechanics describes massive particles as traveling wavesneutron optics deals with scattering of the neutrons’ de Broglie (or matter) wave. The sour... |
944be9725960ac0f | Download Power of one qumode for quantum computation Please share
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Power of one qumode for quantum computation
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d91dfdab3b53cdd5 | Difference Methods for One-Dimensional PDE
• Simon Širca
• Martin Horvat
Part of the Graduate Texts in Physics book series (GTP)
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45035596cfd668d8 | Citation for this page in APA citation style. Close
Mortimer Adler
Rogers Albritton
Alexander of Aphrodisias
Samuel Alexander
William Alston
Louise Antony
Thomas Aquinas
David Armstrong
Harald Atmanspacher
Robert Audi
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676e98e7452a1ee6 | There is, thoughtful students agree, no entirely satisfactory interpretation of quantum mechanics. Freeman Dyson argued that the theory applies only to predictions about the future. The past is not probabilistic. What’s done is done. Quantum mechanics does not apply; the past must be described classically. I do not thi... |
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For Albert Einstein, the answer is no. But what did he mean? Did the greatest theoretical physicist of all times really miss the bandwagon of quantum physics? What are the real issues of the controversy that has opposed him to the Copenhagen School (Bohr, Heisenberg …)? Back to the physics of the e... |
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B. J. Hiley and O. J. E. Maroney
Theoretical Physics Research Unit
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8f7b49accadca01b | Article | Open | Published:
Real world ocean rogue waves explained without the modulational instability
Scientific Reports volume 6, Article number: 27715 (2016) | Download Citation
According to the most commonly used definition, rogue waves are unusually large-amplitude waves that appear from nowhere in the open... |
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One can however develop objections.
Consider now possible objections.
Sunday, August 30, 2015
Sharpening of Hawking's argument
I already told about the latest... |
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B Color and Wavelengths
1. May 18, 2017 #1
I have read that color of light percieved by us depend on its wavelength since light is wave and also electron has wave like character that means electron has wavelength .Does that mean that electron has a c... |
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Materials that have controllable quantum mechanical characteristics are highly significant for the quantum computers and electronics in future. Discovery or development of practical materials having these features is very difficult.
At present, an internat... |
ee5e81330fd6ae3f | Impact Factor 2.323
The 1st most cited journal in Multidisciplinary Psychology
This article is part of the Research Topic
Quantum Structures in Cognitive and Social Science
Original Research ARTICLE
Front. Psychol., 03 August 2015 |
Quantum-like model of unconscious–conscious dynamics
• Department of Mathemati... |
6b8a44424d98b449 | Thursday, May 10, 2012
A Universe from Nothing
The book A Universe from Nothing: Why There Is Something Rather than Nothing by Lawrence Krauss has stimulated a lot of aggressive debate between Krauss and some philosphers and of course helped in gaining media attention.
Peter Woit wrote about the debate - not so much... |
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The Origin of Fake Physics
Peter Woit on gives on Not Even Wrong a list of fake physics most of which can be traced back to the fake physics character of Schrödinger's linear multi-dimensional equation, as exposed in recent posts.
Woit's list of fake physics thus includes different fantasies o... |
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Tchavdar Todorov
1. Title: Electron-phonon thermalization in a scalable method for real-time quantum dynamics
Author(s): Rizzi V., Todorov T.N., Kohanoff J.J., Correa A.A.,
Physical Review B, 93, No. 2 (27 January 2016)
doi: 10.1103/PhysRevB.93.024306
Full Text
We prese... |
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Young Women in Harmonic Analysis and PDE
December 2-4, 2016
Lisa Onkes (University of Bonn)
Singularity formation for dispersive waves
We consider the (focusing) nonlinear Schrödinger equation \begin{align*} (\text{NLS})\qquad \left\lbrace\... |
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Lecture Notes on Green's Functions for lecture given on St. Patrick's day, so written in Green naturally.
Some of the most important equations in physics can be solved by constructing a beast with a curious set of properties, called a Green’s function. This post contains some interesting nuggets fr... |
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Atomic structure is the basis of chemistry. It is explained by Quantum Mechanics, which is part of physics. We will see that physics explains chemistry, which explains physiology, which at least start to explain neurobiology. It’s one thing that leads to another.
In QM, the ... |
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Shrodinger Equation, where did it come from?
1. Feb 3, 2009 #1
I was just wondering this lately: where does the Shrodinger Equation come from? How was it 'invented'?
Our teacher told us that it cannot be derived from any classical mechanics (quite obviously) so how... |
bbaaf3b9c9ed6420 | tisdag 31 januari 2017
The End of CO2 Alarmism
• Climate sensitivity to CO2 emission vastly exaggerated.
• Climate industrial complex a very dangerous special interest.
And read about this historic press conference:
Radiation as Superposition or Jumping?
Which is more convincing: Superposition or jumping?
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Evil Triumphs in These Multiverses, and God Is Powerless
By Dean Zimmerman
It may turn out that our world is fairly middling, one among the many universes that were good enough for God to create.
A religious Everettian might hope that God would just prune th... |
97d69fd8efa004c8 | Friday, September 26, 2008
Dark black holes, dark flow, and how to avoid heat death?
Lubos made interesting comments about the calculation of black hole entropy in his blog. I have absolutely nothing to say about this branch of science as far as technicalities are considered. The formulas for blackhole entropy howeve... |
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From Wikipedia, the free encyclopedia
Jump to: navigation, search
A quantum dot is a nanocrystal made of semiconductor materials that are small enough to exhibit quantum mechanical properties. Specifically, its excitons are confined in all three spatial dimensions. The electronic properties of these mater... |
a6e23f8d9f55a6c3 | Take the 2-minute tour ×
I've read that QM operates in a Hilbert space (where the state functions live). I don't know if its meaningful to ask such a question, what are the answers to an analogous questions on GR and Newtonian gravity?
share|improve this question
2 Answers 2
up vote 1 down vote accepted
I interpre... |
73538b13d1419b0a | Physics Friday 58
In a previous Friday post, I demonstrated one method of determining the energy eigenvalues for the one-dimensional quantum harmonic oscillator. In particular, we took the (time-independent) Schrödinger equation , and by defining dimensionless parameters , , and then attempting a solution of the form ... |
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Why is a proton assumed to be always at the center while applying the Schrödinger equation? Isn't it a quantum particle?
share|improve this question
Self interactions are not considered in a non-relativistic quantum mechanical treatment and the Hydrogen atom is usually treated that way, in a ... |
20d5767d282266d9 | From Wikipedia, the free encyclopedia
Jump to: navigation, search
Chemisorption is a kind of adsorption which involves a chemical reaction between the surface and the adsorbate. New chemical bonds are generated at the adsorbant surface. Examples include macroscopic phenomena that can be very obvious, like corrosion, a... |
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I saw this video of the double slit experiment by Dr. Quantum on youtube. Later in the video he says, the behavior of the electrons changes to produce double bars effect as if it knows that it is being watched or observed.
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More Designer Electrons- Artificial Molecular Graphene used to Mimic Higgs Field and Relativity
Researchers arranged carbon monoxide molecules to form the same hexagonal pattern found in graphene, except that they could adjust molecular spacing slightly. They placed individual molecules of carbon monox... |
6c12391fd4b3eb20 | Guide to Vector Version (sspropv, sspropvc)
The vector version of the SSPROP solves the coupled nonlinear Schrödinger equations for propagation in a birefringent fiber. The code can model birefringence, differential group delay (PMD), polarization-dependent dispersion, and polarization dependent loss, all in the cont... |
9ca2f6f6ab3332ba | So a positive and a positive wave function create a bonding orbital where the probability of finding an electron is summed while a positive and a negative create an anti-bonding orbital with a lower electron probability in the region between them leading to a repulsion. My confusion stems from not having any idea as to... |
6c10159962c4cc78 | Fundamental Reality XIV: Conclusion
Putting everything together, I have argued—using plausibility arguments, not strictly deductive proofs—that it is reasonable to believe in a metaphysically ultimate being, and that given the reality of Ethics or Consciousness, it is probable that it is more like a mind than like a s... |
c633d248e0c18fe8 | Lecture 01. General Course Information and Introduction to Quantum Mechanics
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Lecture 01. General Course Information and Introduction to Quantum Mechanics
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Lecture 01. Quantum Principles: General Course Information and Introduction to Quantum Mechanics
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e262f38f3435b958 | 2018/07/04 Wed 16:30 - 17:30
The University of Edinburgh
In recent years, there has been significant progress on theoretical understanding of singular stochastic partial differential equations (SPDEs) with rough random forcing. The main difficulty in studying singular SPDEs lies in making sense of products of distribu... |
17a1a99a1df8eb48 |
Theoretical chemistry
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47166cefc7241492 | I understand the derivation to get
$$\frac{d}{dt}⟨\psi|Q|\psi⟩ = -\frac{1}{i\hbar}⟨\psi|[H,Q]\psi⟩ + ⟨\psi|\frac{d}{dt}Q|\psi⟩$$
and that setting $[H,Q] = 0$ results in
$$\frac{d}{dt}⟨\psi|Q|\psi⟩ = ⟨\psi|\frac{d}{dt}Q|\psi⟩$$
However I don't understand the next part. It just says "if $Q$ is not explicitly dependen... |
18db7f3d4d7a5a9a | World Library
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Quantum gravity
Quantum gravity
Strictly speaking, the aim of quantum gravity is only to describe the quantum behavior of the gravitational field and should not be confused with the objective of unifying all fundamental interactions into a single mathemati... |
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Quantum Mechanics: A Not-Too-Technical Introduction
Updated on January 11, 2010
Do House Rules Allow Doubling-Do... |
d9d47f3c9db2a730 | Saturday, January 31, 2009
A comment about thermodynamics of dark black holes
Lubos Motl had an excellent posting about thermodynamics of black holes. Unfortunately I am too busy with the updatings for a detailed response. Just a hasty comment about thermodynamics of dark black holes inspired by the vision about dark... |
370e15ba7cb983bc | Thursday, January 01, 2015
Dreamers and Doers
Sean Carroll has a guest post by Chip Sebens on the Many-Interacting-Worlds Approach to Quantum Mechanics. Here's the first part of it.
"In Newtonian physics objects always have definite locations. They are never in two places at once. To determine how an object will mo... |
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