Schrödinger Definition and 591 Threads

Homework Statement See attached photo Homework Equations none The Attempt at a Solution Just hoping someone could give me a hand with this. I think I need to convert polar coords into y and z using trig then perform an addition of the wavefunctions as the linear transform...

Homework Statement Consider two non-identical, non-interacting particles of mass M that are constrained to move on a circle of radius R. Write down the Schrodinger equation for this problem and find the eigenfunctions and energy levels of this system. Homework Equations (see below)...

I understand that the Schrodinger equation describes the behaviour of matter and the electromagnetic wave down to the microscopic scale. But I'm not sure about the everyday sound waves, water waves, wave on a spring, etc. What do you think?

I have just completed Atomic Structure from my textbook. In that a Schrodinger Wave Equation is mentioned and after that it is written that it is not in the scope of this book to solve this equation. I want to know what is so hard in the schrodinger wave equation that it is not of my level?

To what extent does the Schrodinger equation apply to an atom as a whole?

The Schrodinger equation is linear in time. I was wondering if that means that is not invariant under time reversal. That would be a surprise because all other microscopic laws (Maxwell's equations, Newton's equations) are time invariant. Can you please clear this doubt?

I've tried to solve Schrodinger equation for Charmonium and Bottomonium and there are some problems with that : 1. As we know the Schrodinger equation is independent from quantum number "ml" so there would be same Energy for different "ml" for a specific n. But what we see in PDG book is...

Why is the TDSE first derivative in time. Now I know that it is required so that the wave functions are complex... but is there any physical interpretation for this requirment??

Homework Statement Show that this solution: \psi(x,y,z)=Ae^{i\mathbf{k}\cdot\mathbf{r}} is a solution for this equation: \frac{\hbar^{2}}{2m}\Delta \psi(x,y,z)=E\,\psi(x,y,z), How is K related to E? How does the corresponding timedependent function look like? The...

I'm not good in quantum but i heard about this cause (cat) what happen to this cat and why he use cat although quantum used for microscopy system ?

Hi there, during my work on my PhD thesis as an experimental physicist I ended up with a very theoretical problem: What does the wavefunction of an electron traveling through a magnetic vector potential look like? I chose a cylindrical coordinate system with a magnetic vector potential A...

Schrodinger Equation in momentum space? ?? I don't know if this makes any sense at all, but I'm studying QM and just trying to generalize some things I'm learning. Please let me know where I go wrong.. Basically by my understanding the most general form of the Schrodinger Equation can be...

In standard, run-of-the-mill, one-dimensional scattering problems (e.g., finite square wells), we calculate transmission and reflection amplitudes by (in part) making sure that our wave function \psi satisfies the following conditions at discontinuities of the potential: (1) It is continuous...

I tried simply substituting z and epsilon into the original equation. I managed to get the second term of the left hand side correct but not the first term as I don't know how to turn z into d^2/dz^2. Can you please give me suggestions as to how I can approach this question. Thanks

From what I see, the time dependence in potentials do not change the spatial aspect of the wave function. They contribute a time dependence to the population of what were originally stationary states. If this is the case, then does that imply that the time independent bases are the ones we...

hi, can anybody of you show me how the schrödinger equation with the spin term of the electron for the hydrogen atom looks like? i really do not know how to do this Gavroy

I had a math question about the following steps. The Shroedinger's equation can be written as follows. \LARGE i\hbar \frac{d}{dt}U(t) |\psi(0)> = HU(t)|\psi(0)> Where H is the hamiltonian and U is the time evolution operator. So U satisfies the schrodinger equation. \LARGE...

Homework Statement Given a set of solutions |psi_n> to the TISE show that a) |Capital-psi>=Sum(C_n|psi_n>) is not a solution to the TISE Homework Equations ***H|psi_n>=E_n|psi_n> The Attempt at a Solution I don't really know where to start, I plugged |psi_n> into *** and I am...

Pardon my ignorance but why does the Time Independent Schrödinger equation use Time? It uses a kinetic energy operator. Kinetic energy; "It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity." Velocity is; "The scalar absolute value...

This extract is from my college notes. "Because of the inherent difficulty of obtaining even grossly approximate solutions of the complete Schrodinger equation, one typically focuses on reduced formulations that are believed to capture the essential features of the problem of interest. This...

Homework Statement I have a quantum harmonic oscillator with quantum numbers nx,ny,nz ≥ 0 and frequency ω0. There are three parts to the problem. To me it seems they are out of order, but I'm kind of shaky deriving these. a) Write down the energy level Enx,ny,nz of a QHO in 3d with quantum...

Homework Statement Show that, if psi1 and psi2 are both solutions of the time-dependent Schr¨odinger equation, so is c(subscipt1) psi1 + c(subscript2) psi2 (where c1 and c2 are arbitrary constants). Homework Equations The Attempt at a Solution every source I've consulted so far...

in the schrodinger equation the integration constant in the angular wave equation is set to L(L+1). may i know why this is set ,what is the reason , thx!

Prove this function satisfies the time independent schrodinger equation. When V is constant. Psi = A e^(i k x) + B e^(-i k x) Attempt: Time independent schrodinger equation : (- (hbar^2) / 2m) * (d^2 Psi / d x^2) + V Psi = E Psi Second order derivative of Psi : (-k^2 A e^(i k x)) + (-...

Homework Statement Use the ground-state wave function of the simple harmonic oscillator to find xav, (x2)av, and \Delta x. Use the normalization constant A=(\frac{m\omega _0}{\overline{h} \pi })^{1/4}Homework Equations \psi (x) = Asin(kx) (f(x))_{av} = \int ^{\infty }_{-\infty } \left| \psi (x)...

Homework Statement I have a 2D square well with sides a. What is the minimum momentum and energy for this well? Homework Equations Minimum momentum given by Δp≈ℏΔx and Δp≈ℏΔy Minimum energy given by ΔE≈ℏΔt This might be right. It says to consider the Schrödinger Equation in 2D. I've never...

Hey, I'm stuck. How do you do question B1 part 2? Do you substitute h=p\lambda into E=n^2h^2 / 8mL^2 ? Question in link-

Homework Statement Help me solve the schrodinger equation for cylindrical quantum wire with semi-inverse-law potential : http://www.upanh.com/upanh_untitled/v/euieaacf5f.htm Thanks My email address : duytien.tran89@gmail.com Homework Equations The Attempt at a Solution

I have been studying QM and am interested in keeping to the non-relativistic theory for now. In many experiments of crossed gamma rays in the vicinity of a massive particle (or nucleus), pair generation of an electron and its anti-particle the positron is well described. In some instances, the...

Homework Statement see attachment Homework Equations TISEThe Attempt at a Solution a)When U>E -\frac{\hbar^2}{2m}\frac{d^2\Psi(x,t)}{d x^2}+U(x)\Psi(x)=E\Psi(x) leads to blahblahblah...(there is only transmittion no reflection as x to infty) \Psi(x)=Be^{-\alpha x}, where \alpha =...

Hi, I am having trouble understanding an example from a textbook I am reading on the Schrodinger equation. The example deals with an infinite square well in one dimension. With the following properties: V = 0\,where -a \leq x \leq a V = \infty\,|x| \geq a Where V is the potential. The...

How can time-independent schrödinger equation be proven? Do you know any source which explains it clearly? Thanks for replies.

Hi everyone, How can I solve hydrogen atom with discrete nonlinear schrödinger equation? Could you help me with the mathematics of that, please?

i know its a stupid question but I am a beginner: according to eisntein: E=K+m_{o}c^2 but the plane wave solution yields that particle's KE is its total energy,where free particle has no potential energy. But where is the rest mass energym_{o}c^2? Is it omitted?

1. I am writing one page on if there is free will(using physics). I concluded that there is no free will and I am trying to use Schrödinger equation in my paper, but i don't understand what its proving/means. And if possible can i get an example that will prove the equation(no math, just an...

Dear frnds, if we take an hydrogen atom and we wish to find out the PD function of 1st, 2nd and 3rd orbital. please help me finding out some doc on it.

Im new to all of this a just started studying quantum mechanics and the time-dependent schrodinger equation. What attributes must be known of a particle to use the schrodinger equation? Also is the wave function considered a constant?

Forgive me if this is a poorly asked question but I am not yet completely fluent in quantum mechanics and was just looking at the energy eigenvalue equation H|\Psi\rangle = i\hbar \frac{\partial}{\partial t}|\Psi\rangle = E|\Psi\rangle . We've got the Hamiltonian operator H acting on the state...

On my notes, the lecturer left out some of the formulae as blanks which we were supposed to fill in as we went a long but I'm missing a few of them. The 1st one is: [PLAIN]http://img213.imageshack.us/img213/6627/screenshotdh.png I'm stuck here, I can't figure out what equation he's...

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...

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 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...