Spherical harmonics

  • Thread starter Matea112
  • Start date
  • #1
1
0

Homework Statement


In t=0, wave function of the particle that moves freely on the surface of the sphere has the wave function:

Ψ(Φ,θ) = (4+√5 +3√5cos2θ)/(8√2π)
what is time-dependent wave function?


Homework Equations


Spherical harmonics

The Attempt at a Solution


I tried normalizing this wave function and got (2π)¼. I don't think that is right. Was I even supposed to normalize this function?. Regardless of normalization, I don't know how to proceed.
 

Answers and Replies

  • #2
pasmith
Homework Helper
2,072
694
Do you have a general solution for the wave function in terms of a series of spherical harmonics?

Do you know how to determine the coefficients in that series given an arbitrary initial condition?
 

Related Threads on Spherical harmonics

  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
2
Views
300
  • Last Post
Replies
5
Views
889
  • Last Post
Replies
3
Views
3K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
0
Views
2K
  • Last Post
Replies
4
Views
865
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
2
Views
1K
Top