"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 Schrodinger 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 probabilty values I do this with:
P(r)=4*pi*r^2*|u100|^2
If I set r=10^-13 I...
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:
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...
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 Schrodinger'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 Schrodinger'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 Schrodinger 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 schrodinger 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...
:confused: Newton's equation (F=ma) could derive from Lagrangian, My question is, could we derive the schrodinger equation from the more fundemantal principle in Physics...
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"...
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 =...
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...
one-dimensional Schrodinger's Equation
Hi !
I wonder how to solve one-dimensional Schrodinger'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...
I am looking for a detailed step by step derivation of the Schrodinger 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...
I'm dong a presentation and I'm trying to explain how to use the Schrodinger 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...