Consider a hydrogen atom in some system of units is described by the Hamiltonian: 1 1 1 1 + sin 0 2 r2 dr ar p2 sin 0 d0 p2 sin? 0 d4². See if the given function is an energy eigenfunction. If so, compute its eigenvalue. Are -r/2 cos 0, where A is an appropriate normalization constants.

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Consider a hydrogen atom in some system of units is described by the Hamiltonian:
1
1
p2
1
1
sin 0
2 p2 dr
dr
p2 sin 0 d0
p2 sin? 0 d6²
See if the given function is an energy eigenfunction. If so, compute its eigenvalue.
Are
-r/2
cos 0,
where A is an appropriate normalization constants.
Transcribed Image Text:Consider a hydrogen atom in some system of units is described by the Hamiltonian: 1 1 p2 1 1 sin 0 2 p2 dr dr p2 sin 0 d0 p2 sin? 0 d6² See if the given function is an energy eigenfunction. If so, compute its eigenvalue. Are -r/2 cos 0, where A is an appropriate normalization constants.
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