Two identical non-interacting particles

  • #1
Two identical non-interacting particles are in an isotropic harmonic potential. Show that the degeneracies of the three lowest energy levels are:

a) 1, 12, 39 for spin 1/2 (aka fermi)

b)6, 27, 99 for spin 1 (aka bose)





The Attempt at a Solution



Well, I tried counting the states for [itex]E_{nl}[/itex], noting that no two fermi particles can be in the same state, but two bose particles can be, don't really know where do go from there.
 

Answers and Replies

  • #2
Meir Achuz
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Use S, L, and J.
For instance, S can be 0 or 2 for two spin one bosons with L=0.
This gives six states.
 

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