Question: Suppose a spinless particle is bound to a fixed center by a potential V(x) so asymmetrical that no energy level is degenerate. Using time-reversal invariance

Suppose a spinless particle is bound to a fixed center by a potential V(x) so asymmetrical that no energy level is degenerate. Using time-reversal invariance prove ? 0

For any energy eigenstate. (This is known as quenching of orbital angular momentum.) If the wave function of such a nondegenrate eigenstate is expended as?

What kind of phase restrictions do we obtain on Flm(r)?

l m

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