Evaluate the matrix elements (or expectation values) given below. If any vanishes, explain why it vanishes using
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Evaluate the matrix elements (or expectation values) given below. If any vanishes, explain why it vanishes using simple symmetry (or other) arguments.
[In (a) and (b), |nlm〉 stands for the energy eigenket of a nonrelativistic hydrogen atom with spin ignored.]
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(a) (n=2,1 1,m=0|x|n=2,1 (b) (n=2,1=1, m=0|p₂|n=2,1 = = 0,m = 0). = 0, m = 0).
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a To evaluate the matrix element langle n 2 l 1 m 0 x n 2 l 0 m 0 angle we need to consider the selection rules for the matrix elements of the position operator between different quantum states The po...View the full answer
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