Non spherical solutions of a spherical potential well?

  • Thread starter nista
  • Start date
  • #1
11
0

Main Question or Discussion Point

Hi all
just a question about the understanding of the solutions of a spherical potential well.
What is the physical sense of solutions which have no spherical symmetry?
I just would think that the probability of finding a particle
whose state is described by one of the eigenstate of the Hamiltonian should not depend on the angular coordinate as the
problem as spherical symmetry. However for solutions with angular momentum larger than 0 this not the case. Why?
Thanks in advance for your comments

Roberto
 

Answers and Replies

  • #2
Meir Achuz
Science Advisor
Homework Helper
Gold Member
2,177
69
If there is no preferred direction, so all the m values for each L are equally likely, the full probability distribution will be spherically symmetric. If there is a defined z axis for which different m values have different amplitudes, there will be an angular distribution.
 

Related Threads on Non spherical solutions of a spherical potential well?

  • Last Post
Replies
8
Views
822
Replies
5
Views
5K
  • Last Post
Replies
2
Views
4K
  • Last Post
Replies
10
Views
4K
  • Last Post
Replies
5
Views
3K
Replies
1
Views
2K
  • Last Post
Replies
0
Views
956
Replies
0
Views
2K
Top