Schrödinger Definition and 611 Threads

Hi every one .. Could anyone provide me a link of original schrodinger equation article in english?? I'll really approciate that

Homework Statement Write down the time independant schrodinger equation in the momentum representation for a particle with mass m when the potential is given by V (x) = 1/2 \gamma x2. A possible soloution of this schrodinger equation is of the form \Psi (p) = Ae-Bp2 / 2 Determine...

Hi there, I was expecting to find a "simulations forums" somewhere here, if there is a better place for this thread please let me know :) OK, here's the problem: I'm trying to make a simulation with PYthon, at first with a square potential, for simpler potential/boundary conditions. But...

I take Schrödinger Equation and look for spherically symmetric stationary state wave function. I make substitution \sigma (r) = r X(x) get simpler form. This equation is defined for r \geq 0 , Boundary Conditions is that wavefunction is finite at all points. Now It is possible to relate nicely...

What does it mean to "satisfy" the Schrodinger equation? Homework Statement Show that the 2p wave functions of the hydrogen atom satisfy the radial Schrodinger eq. One of the radial equations for the 2p state is \frac{1}{\sqrt{96 \pi a^{3}}} \frac{r}{a} e^{\frac{-r}{2a}} Homework Equations...

Homework Statement Starting with \psi(r,\theta,\phi)=R(r)Y(\theta,\phi) saubstitute into the Schrodinger equation and show (using the technique of separation of variables) that R satisfies: (\frac{\hbar^2}{2m}\frac{1}{r^2}\frac{d}{dr}(r^2\frac{d}{dr})+\frac{C}{2mr^2}+V(r))R=ER(r) Homework...

Homework Statement Hi, I've just started this new course about quantum mechanics and it begins, among others, with this question: [PLAIN]http://img710.imageshack.us/img710/2962/unbenanntfwg.jpg I'm really at a loss how to approach this one. Can anyone please help?

Show, from it's definition, \psi(x,t) = \int dx' G(x,t;x',t_0) \psi(x',t_0) G(x,t;x',t_0)= \langle x | U(t,t_0) | x' \rangle that the propagator G(x,t;x',t') is the Green Function of the Time-Dependent Schrodinger Equation, \left ( H_x - i \hbar \frac{\partial}{\partial t} \right )...

Homework Statement A particle of mass m and total energy E < 0 is confined to a potential given by: where \alpha is some positive constant. Show that the wavefunction is a solution of the time independent Schrodinger equation when x > 0. Find the associated energy Eigenvalue E.Homework...

Homework Statement Let |\psi\rangle and |\psi '\rangle be solutions to the same Schrodinger equation. Show than, that c|\psi\rangle+c'|\psi '\rangle is the solution, where c and c' are arbitrary complex coefficients, for which holds: |c|^2+|c'|^2=1 The Attempt at a Solution Now this follows...

Why does charge of a particle not appear in Schrodinger Equation even though mass appears? Chapter 5 Q No. 9 Quantum Physics of Atoms Molecules Solids Nuclei and Particles - Robert Resnick, Robert Eisberg

Homework Statement Consider reflection from a step potential of height V0 with E > V0, but now with an infinitely high wall added at a distance a from the step (x=0 at V=V0) Solve the Schrodinger equation to find \varphi(x) for x<0 and 0 \leq x \leq a. Your soultion should contain only one...

Homework Statement Find the ground state wave function for the 1-D particle in a box if V = 0 between x = -a/2 and x = a/2 and V = \infty Homework Equations I would guess -- Schrodinger's time-independent equation...

Homework Statement [PLAIN]http://img820.imageshack.us/img820/4205/agvg.png Homework Equations TISE: \left(-\frac{\hbar}{2m}\nabla^2 + V(r) \right) \psi(r) = E\psi(r) The Attempt at a Solution Can someone tell me what 'transcendental' means in part b). I've...

Homework Statement Supposed that \psi1 and \psi2 are two different solutions of the TISE with the same energy E. a) show that \psi1 + \psi2 is also a solution with energy E. b) show that c*\psi1 is also a solution with energy E. Homework Equations TISE: (-\hbar/2m)*\nabla^2*\psi(r)...

Can someone help me with this problem? show that the angular wavefunction Y1,1 is a solution to the schrodinger equation.

Hi! I've just finished learning the basics of MATLAB from an internet tutorial. I know a the basics of how to represent and manipulate vectors,matrices,graphs and plots on MATLAB. Now,my H.O.D wants me to make a programme that will simulate the Schrodinger wave equation on MATLAB...and I...

Hi, this is my question: suppose that at time t' our system is in the state | \psi(t')\rangle The probability for the system to be in the state | \phi\rangle at the time t'' is the norm of \langle \phi| \psi(t'')\rangle This in the Schrodinger picture. But how i can write the same thing in...

Please tell me where my understanding of the Heisenberg and/or the Schrodinger picture falls apart. -Schrodinger says the state vector of a system changes with time according to a unitary operator that doesn't change with time. -Hesienberg says the state vector of a system doesn't change...

Some books begin QM by postulating the Schrodinger equation, and arrive at the rest. Some books begin QM by postulating the commutator relations, and arrive at the rest. Which do you feel is more valid? Or are both equally valid? Is one more physical/mathematical than the other? I...

The Pauli equation (seen here) contains its spin dependence in the term which reads \frac{1}{2m}\left[ \sigma\cdot\left(p-\frac{e}{c}A\right)\right]^2 So let B be any vector. Then \left( \sigma\cdot B\right)^2 =\left(\sigma_1 B_1 +\sigma_2 B_2 + \sigma_3 B_3\right)\left(\sigma_1 B_1...

Homework Statement I've attached my past paper question, which contains the relevant integral identity too. The Attempt at a Solution This question is relatively simple, yet I can't seem to complete it. I used the schrodinger equation which is: -(ħ²/2m)\nabla^2u + Vu = Eu...

Homework Statement This is really a maths problem I'm having. I need to get the general solution for the infinite square well in the form: u = A cos(kx) + B sin(kx) I found the general solution to be: u = A exp(ikx) + B exp(-ikx) Using Euler's formula: exp(ikx) =...

I am sure you are all aware of the Schrodinger equation. The Hamiltonian is included in this equations, which contains the Kinetic energy operator. When Schrodinger wrote thi he converted momentum to the unit imaginary number, the reduced Planck constant and the Delta operator. My...

Homework Statement In delta potential barrier problem Schrodinger equation we get \psi(x)=Ae^{kx}, x<0 \psi(x)=Ae^{-kx}, x>0 We must get solution of lim_{\epsilon \rightarrow 0} \int^{\epsilon}_{-\epsilon}\frac{d^2\psi}{dx^2}dx Homework Equations The Attempt at a Solution lim_{\epsilon...

Can someone explain the components of the Time dependent Schrodinger equation for me. Thank you -H

ive been asked to show that the function of Y(x) = A sin (x) = 0 is a solution to the equation of d2Y(x) dx2 +k2Y(x)=0 where the Y is meant to be the lowercase wavefunctio psi...i just can't get it to work on this :( basiaclly I am completely...

Homework Statement Homework Equations This is what I'm trying to obtain, in terms of the elements in the question. Assuming that these 'x' values are 'z'. The Attempt at a Solution I'm not really understanding what it is being asked here. Do I just substitute the value of V(z) into...

While messing around with the Schrödinger equation on paper, I found an interesting, elegant way of expressing it. Let P be the probability density |\Psi |^2, and let \vec Q be a real-valued vector field. \vec F is a vector field describing the forces acting on the system when in a given...

In his lectures on Quantum Physics, Richard Feynman derives the Hamiltonian matrix as an instantaneous amplitude transition matrix for the operator that does nothing except wait a little while for time to pass.(Chapter 8 book3) The instantaneous rate of change of the amplitude that the wave...

I just have a small question, In my book it says that the schrodinger equation, i\hbar\frac{\partial\Psi}{\partial t} = \frac{\hbar^2}{2m}\frac{\partial^2\Psi}{\partial x^2} + V\Psi rearranged is, \frac{\partial\Psi}{\partial t} = \frac{i\hbar}{2m}\frac{\partial\Psi ^2...

I am doing a report and presentation on Erwin Schrödinger in my physics class and I want it to be exciting and interesting. Does anyone have and interesting facts about this great scientist? Not just FACTS, but INTERESTING facts! I have heard that he was quite the ladies man... Thanks! ~Matt

I can understand that if z= a + ib then z*=a - ib, where the definition of the complex conjugate is reversing the sign in front of the imaginary part. I'm now confused about how the complex conjugate works in the TISE. in a stationary state, i\hbar\frac{\partial\Psi}{\partial\\t}= E\Psi...

The Hamilton-Jacobi equation \frac{\partial W}{\partial t}+\frac{1}{2m}\left[\left(\frac{\partial W}{\partial x}\right)^2+\left(\frac{\partial W}{\partial y}\right)^2+\left(\frac{\partial W}{\partial z}\right)^2\right] + V(x,y,z) = 0 Can be re-expressed as |\nabla W| = \sqrt{2m(E-V)} by...

In a paper by schrodinger, he uses \Delta_p^\frac{1}{2}, and \Delta_p^{-\frac{1}{2}} in a particular equation: \Delta_p^\frac{1}{2} \sum_l \frac{\partial}{\partial q_l}\left(\Delta_p^{-\frac{1}{2}}\sum_k a_{lk} \frac{\partial \psi}{\partial q_k}\right)+\frac{8\pi^2}{h^2}(E-V)\psi = 0...

Homework Statement Show that the time-dependent Schrodinger equation is separable when V depends on time only and is uniform in space (i.e., V = V (t)). Homework Equations The Attempt at a Solution In the attached document

hey guys first post so sorry if this has already been asked :S what exactly is meant by the separation of variables in the schrodinger equation? also what co-ordinate system would i use to solve for an electron in a hydrogen-like ion? thanks

Hi, I was wondering why the wave-function in quantum mechanics is complex. There are a lot of threads in the physics section and I've downloaded a lot of papers, but they seem quite technical. So I'd like to examine the following idea (sorry if I use sloppy terms ;) ): I have an orthonormal...

Hey everyone, I'm trying to understand more about the correspondence between classical and quantum physics, in particular the relation between classical mechanics in Hamilton-Jacobi form and the Schrödinger equation. The former can be obtained from quantum theory by plugging \psi=\psi_0...

There have been many QM Interpretation thread, but I haven't found this question answered: Taking aside the fact that a complex probability amplitude is not something we can picture, is the Schrödinger equation local and deterministic at once?

Homework Statement Find the width L of a one-dimensional box for which n=5 level would correspond to the absolute value of the n=3 state of a hydrogen atom Homework Equations am i suppose to use n2h2/8mL2 where n=5 to equate it to the n=3 state of the hydrogen atom? which is -13.6eV/32...

http://img18.imageshack.us/img18/4295/eqn.png here is the text preceding the exercise: http://yfrog.com/5mch5p in the exercise, where does the factor \frac{m}{(2mE)^{1/2}} come from? Comparing that equation with 5.19 (bottom right of link), why can't we just replace |p> with |E,+> and |E,->...

I can not transform the dimensional Schrodinger equation in dimensionless, please help! -\frac{i\hbar^2}{2m}(\nabla-\frac{ieA}{c})^2\psi=E\psi A=(x\^y-y\^x)\frac{H_{0}}{2} I'm trying to leave it like that: (\nabla-A)^2\psi=E\psi I do not know if I'm posting this in the...

hi is there any way we can find \Psi(x,t) for a given \psi(x,0) ? i got stuck with schrodinger equation...

Hi everybody! I'm studying the simple case of the solution of the Schrodinger equation for a step potential "[URL .[/URL] As my professor states , the transmission coefficient is 0 when the energy of the particle is E<V. I really don't get how this result is not a contradiction with the fact...

Hi, I'm a physics undergraduate, and I'm having trouble understanding Atomic Physics right now. At first I thought it (the question in the title) is possible, but then I think I got confused with particle in a box. So I refer to textbooks and look for answers in the internet, and confirmed...

Hi Most of my work in the past has been on 1D independent particle systems where I use matrix diagonalisation to solve the time-independent Schrodinger equation. How do I go about this for 2D? Or, more accurately, for a two-body wf in 1D? It strikes me as straightforward to construct a...

just a question about the energies associted wuth the schrodinger equation> are the energy values always positive values. I thought that since when the eigenfunctions exist the particle is in a bound state, that the energy should be less than that required to escape a bound state and should be...

Homework Statement I have just started quantum mechanics bacuase i want to prepare for my class starting in march. I must say so far i find it very confusing: I could use some help with this problem and in addition some explanation on the logic of what it all means. i get that this theory...

When solving Schrodinger's eqn. one comes across the expression: \frac{d^2 \psi}{dx^2}=(V-E)\psi where the mass has been chosen to make \frac{\hbar^2}{2m}=1 If V is infinity at some x, then it is said that \frac{d \psi}{dx} can have a finite jump at that x, since \frac{d^2...