How to Solve the Schrödinger Equation for a 3D Isotropic Harmonic Oscillator?

[eman2009]

Homework Statement

solve the schrodenger equation for the3-D isotropic harmonic oscilator by sepration of varibals in sphericalpolar coordenates.

Homework Equations

The Attempt at a Solution

 

[malawi_glenn]

ok, attempt to solution?

(there is a discussion on this in many textbooks, such as the nuclear shell model by Heyde)

 

[Conor_McF]

for a start, find out what the laplacian is in spherical coords and expand the shrodinger equation. from there you need to separate your variables. remember also that your potential energy is a certain expression if you dealing with a harmonic oscillator.

 

[malawi_glenn]

Or just use simple google to find answers to standard physics problems

http://www.physics.drexel.edu/~tim/open/har/node5.html

no match, no fun =(