• Support PF! Buy your school textbooks, materials and every day products Here!

Azimuthal Wavefunctions: Showing a constant must be an integer

  • Thread starter lms_89
  • Start date
  • #1
8
0

Homework Statement


In spherical polars, the azimuthal part of the wavefunction of a particle is

psi(phi) = 1/sqrt[2.pi] . exp[i.m.phi]

where phi is the azimuthal angle. Show m must be an integer.


Homework Equations


I know you are supposed to have a good go at solving the problem first, but this doesn't seem the sort of question you have an equation for. I've tried googling, and asking my friends, and thinking about it, but am panicking a bit because my exam is tomorrow and I still don't know what to do!


The Attempt at a Solution


See above! Any suggestions of even how to start would be really helpful :)
 

Answers and Replies

  • #2
Cyosis
Homework Helper
1,495
0
It follows from the boundary conditions on a sphere [itex]\psi(0)=\psi(2\pi)[/itex]. Try to find all values for m for which those boundary values hold.
 
Last edited:
  • #3
8
0
Ah ok, thanks. I'll have another think about it :)
 

Related Threads for: Azimuthal Wavefunctions: Showing a constant must be an integer

Replies
1
Views
2K
Replies
17
Views
3K
  • Last Post
Replies
3
Views
1K
Replies
2
Views
538
  • Last Post
Replies
5
Views
492
Replies
5
Views
2K
Replies
1
Views
1K
Top