The wavefunction of a particle is subjected to a sperically symmetric potential V(r) is given by b(x)= (xy 32)f(r), (1) where f is some function of the radius r alone. a) Is an eigenfunction of L2? If so, what is its l-value? If not, what are the possible values of / we may obtain when L2 is measured. b) What are the probabilities for the particle to be found in various m states? c) Suppose it is known that b is an energy eigenfunction with energy eigenvalue E. Indicate how we may find V(r).
The wavefunction of a particle is subjected to a sperically symmetric potential V(r) is given by b(x)= (xy 32)f(r), (1) where f is some function of the radius r alone. a) Is an eigenfunction of L2? If so, what is its l-value? If not, what are the possible values of / we may obtain when L2 is measured. b) What are the probabilities for the particle to be found in various m states? c) Suppose it is known that b is an energy eigenfunction with energy eigenvalue E. Indicate how we may find V(r).
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Transcribed Image Text:The wavefunction of a particle is subjected to a sperically symmetric potential V(r) is given by
b(x)= (xy 32)f(r),
(1)
where f is some function of the radius r alone.
a) Is an eigenfunction of L2? If so, what is its l-value? If not, what are the possible values of / we
may obtain when L2 is measured.
b) What are the probabilities for the particle to be found in various m states?
c) Suppose it is known that b is an energy eigenfunction with energy eigenvalue E. Indicate how we
may find V(r).
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