Schrödinger Definition and 591 Threads

In http://nobelprize.org/nobel_prizes/physics/laureates/1965/feynman-lecture.html" , he mentions this: I'm trying to get the same result, but I'm stuck. Has anyone done this before?

Pls derive the time-independent Schrödinger equ from the time-dependent equ.? Thanks! Anyone has any sugestiond on how to approach this? -\frac {\hbar^2} {2m} \frac {\partial^2 \psi(x,t)} {\partial (x)^2} + U\psi(x,t) =i\hbar\frac{\partial\psi(x,t)}{\partial (t)}

Complex Schrödinger Equation, references?? hopefully i can explain what i am looking for well enough for somebody to understand. I am interested in finding any references for work that has been done on solving the Schrödinger equation in C^n rather than in R^n, as in on the complex plane with...

I have been asked to show that the Schroding equation is equivalent to: i(hbar)d/dt(cn(t))=sum over m (Hnm*cm(t)) where Hnm=integral over all space of (complex conjugate of psin)*Hamiltonian operating on psim psi=sum over n (cn(t)*psin) But i don't know how to even start this question.

I think I copied the wrong notes or something because my notes do not follow. I am trying to find the probability of finding a particle in a box length L in the area \frac{L}{3}-\frac{\partial}{2} to \frac{L}{3}+\frac{\partial}{2} basically we have the following wave funtion...

"You cannot derieve Schrödinger Equation". Bah. We're being told this over and over again. Then the game guy invents operators to extract momentum and energy from wavefunction, then puts them in Newtwon equation! He's saying exactly this: \frac{p^2}{2m} + V = E Should I look amazed when this...

At this link: http://www.geocities.com/ptep_online/PP-04-07.PDF is a recent paper by Carlos Castro on a new nonlinear Schrödinger equation--for those that work in this area.

Schrödinger equation: P(r)>1 ? I have the solution of the Schrödinger equation for the ground state of the hydrogen electron. The solution ist: u100(r)=sqrt(1/(pi*a^3))*exp(-r/a) If I want to calculate some probability values I do this with: P(r)=4*pi*r^2*|u100|^2 If I set r=10^-13...

I'm given the value of a normalized wave function at t=0 (see attachment) and I'm asked to find the wave function at some time t. I have no idea where to even begin, the book has zero examples of anything and I'm just stuck :confused:

If we take the non-relativistic limit of either the K.G. field equation or the Dirac field equation(where the field obeys commutator relations),we get the Schrödinger equation.Obviously at no point does the field turn into a wavefunction---so the Schrödinger equation also is an equation for the...

May be this is a silly question, but if one converts the nonrelativistic Schrödinger equation for a free particle to an uniformly accelerated frame, is the result the same as the Schrödinger equation for a particle within a gravitational potential? I was trying some simple calculations but did...

i'm a green hand in this field,maybe the question i asked is droll,but i want to know some wonder thing about quantum physics. i know that one dimensional potential trap can be reckoned from Schrödinger equotion, but what about the actually fact? How dose one dimensional potential trap form...

what is the physical significance of each of the terms in the 1-D time indipendant Schrödinger equation?

Dear Friends, Just adjoint a link to a page (finally and pourly translated to english) about the Schrödinger ecuation and the continuity ecuation, but inversed the way to obtain one to other... interesting to understand quantum mechanics. It's a part of a chapter, of a book in spanish...

Hi, I am looking for a book which explains the solving methods for 3d Schrödinger equation. Can you help me? Roitan

Hi, I am looing for a book that explains the solving methods for 3D Schrödinger equation. Can anybody help me? Sanam

Can some1 help me solve a first energy level Schrödinger (\psi_{1})with a the Hermite polynomial and also show that it equals to \frac{3}{2}\hbar \omega? I got as far as \newcommand{\pd}[3]{ \frac{ \partial^{#3}{#1} }{ \partial {#2}^{#3} } }\frac{\hbar^2}{2 m} \ \pd{\Psi}{x}{2} + V \Psi =...

If H1=P^2/2m+V1(x), H2=P^2/2m+V2(x), H=P^2/2m+V1(x)+V2(x) and H1 f1_i(x)=E1_i*f1_i(x), H2 f2_j(x)=E2_j*f2_j(x), H f_k(x)=E_k*f_k(x) Is there any relation between f1_i(x),f2_j(x),f_k(x)?Can we express f_k(x) in terms of f1_i(x) and f2_j(x)?

I am trying to find the Schrödinger's equation for the one-dimensional motion of an electron, not acted upon by any forces. So.. should I begin using the time independent form of the Schrödinger's equation? What should I arrive at? Should I let my V(x) = 0? Also, how do I show that...

Ok, I know that the 1D time-independent Schrödinger equation is -\frac {\hbar^2} {2m} \frac {d^2 \psi(x)} {dx^2} + V(x) \psi(x) = E \psi(x). Why is it that you can mix potentials and energies in the same equation? For example, if you're saying that V(x) has a constant value, say, V(x) = V_{0}...

can you explain this statement "if psi is a solution of a Schrödinger equation, then so is kpsi, where k is any constant". why is that multplying psi by a constant does not its value?

Hi, I have a problem. I want to show that \frac{d}{dt} \int_{-\infty}^{\infty} \psi_1^{*}\psi_2 dx = 0 for any two (normalizable) solutions to the Schrödinger equation. I have tried rearranging the Schrödinger equation to yield expressions for \psi_1^{*} and \psi_2 like this...

How does one work in the Heisenberg picture? Can you dequantize and solve the classical Hamilton's equations and somehow requantize this classical solution for the time evolution of the position and momentum operators (and more importantly the eigenvectors)? How would one go about doing that...

:confused: Newton's equation (F=ma) could derive from Lagrangian, My question is, could we derive the Schrödinger equation from the more fundemantal principle in Physics...

Dear friends, How can I transform this \frac{\partial (\Psi \Psi^*)}{\partial t}=- \frac{\nabla^2 \hbar^2}{2m} (\Psi \Psi^*)+\vec{v}(\Psi \Psi^*) To this? \frac{\partial (\Psi)}{\partial t}=- \frac{\nabla^2 \hbar^2}{2m} (\Psi )+\vec{v}(\Psi) ... at one day of the new...

Recently I have read "Beyond The Quantum Paradox" by Lazar Mayants. The author claimed that Schrödinger Cat Paradox can be solved by the following way: "Since the reasoning of conventional quantum mechanic employs probability, it must concern an abstract cat, whereas any cat experiment, even an...

A cat and a flask of poison are enclosed together in a hermetically sealed opaque container. If the flask is broken, the cat is killed by the poison. Breakage of the flask is triggered by the discharge of a Geiger placed behind one of two holes made in a screen which is irradiated at the front...

In the very first pages of "Quantum Mechanics" by Landau & Lifchitz, the measurement process is described as an interaction between a quantum system and a "classical" system. I like this interpretation since any further evolution of the quantum system is anyway entangled with the "classical"...

Here's my problem: Using the normalization constant A=(mw/h*pi)^(1/4) and a = mw/2h, evaluate the probability to find an oscillator in the ground state beyond the classical turning points -A0 and A0. Assume A0= .1nm an k = 1 eV/square nm. The h variables actually represent h/2pi. The wave...

I heard nonrelativistic QM is time-reversible. How does this follow from the Schrödinger equation?

One solution to the time-independent Schrödinger equation for a free particle (moving in 1 dimension) is: \psi(x) = Ae^{ikx} This has a definite momentum p = h-bar*k, but it can't be normalized since: \int_{-\infty}^{\infty}\lvert\psi(x)\rvert^2dx = \int_{-\infty}^{\infty}|A|^2dx =...

How do you get the B field from the magnetic potential? I tried converting the curl into matrix format, but the corresponding matrix can't be inverted.

Ok, so suppose there is a free particle of mass m that moves in a one-dimensional space in the interval 0<=x, with energy E. There is a rigid wall at x=0. Write down a time independent wave function G(x) which satisfies these conditions, in terms of x and k, where k is the wave vector of motion...

I have to show that if a wave function (Schrödinger) has a potential V(x) and the wave function's complex conjugate has a potential V'(x) and V(x) does not equal V'(x), this contradicts the continuity equation dp/dt + div J =0 where p=charge density, and J=current density. Can someone...

Hi there ; I wanted you to help me with a problem. Well, I'm now studying griffiths' quantum book and now I'm trying the three dimensional Schrödinger equation. I just wanted to know more about bessel functions. Can anyone give me a link for it? Some useful book will be good too. Thanks a...

one-dimensional Schrödinger's Equation Hi ! I wonder how to solve one-dimensional Schrödinger's Equation : \frac{d^2 \psi (x)}{dx^2}\ = \ -(\frac{2 \pi}{\lambda})^2 \ * \ \psi (x) I've to obtain \psi (x) , when -(\frac{2 \pi}{\lambda})^2 is known Can you solve it as an example...

according to quantum mechanics there are many possiblities for a anything to happen...for example if there is a soap on the table..it exists only when we see it...only when we 'actualize' the wave-function...but what about the characteristic smell of the soap doesn't that make it exist? Does...

Hello, everyone I am new to this forum, I hope I am posting this at the right place. I am in my first year of college at Concordia University, and taking chemistry right now. But my main interest is physics. So when we were learning about the equation, I wanted to know more detail information on...

I am looking for a detailed step by step derivation of the Schrödinger Eqn. where one will obtain the general solutions for R, Thetha, and Phi for the hydrogen atom. If someone could direct me to a reference of these derivations explained step by step it would be of great help. [b(] --Wall...

After excitedly buying this from Ottakers I wias dissapionted by the distinct lack of physics. It was more a history and autobiography and took 200 pages to say one damm thing. What they did write about it was good 4/10 Vipers

I'm dong a presentation and I'm trying to explain how to use the Schrödinger Equation to find the wave function of a particle. And I have never done that before...I have a basic idea, but to be more accurate, I need you guys' help. Note that this is for a 7th grade class presentation (so if...