Consider a spin-less particle, mass M, confined on a sphere radius 1. It can move freely on the surface but is always at radius 1.(adsbygoogle = window.adsbygoogle || []).push({});

1. Write the Hamiltonian [tex]H=\frac{L_{op}^2}{2M}[/tex] in spherical polar coords.

2. Write the energy eigenvalues, specify degeneracy of each state. (not you can omit r part of wavefunction, concentrate on [tex] \theta[/tex] and [tex]\phi[/tex] dependence)

I have done part one. but i am not sure how to go about part two. I am thinking that it will be just the operator L^2 acting on a ket like |l m> ? then the eigenvals are l(l+1)hbar^2? i dont see where the degeneracy will come in...any help?

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# Homework Help: Angular momentum quantum mechanics

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