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 (a) (n 2,1 1,m 0 x n 2,1 (b) (n 2,1 1, m 0 p n 2,1 0,m 0) 0, m 0)

Question: 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

Evaluate the matrix elements (or expectation values) given below. If any vanishes, explain why it vanishes using simple symmetry (or other) arguments. (a) (n=2,1 1,m=0|x|n=2,1 (b) (n=2,1=1, m=0|p|n=2,1 = = 0,m = 0). =

[In (a) and (b), |nlm⟩ stands for the energy eigenket of a nonrelativistic hydrogen atom with spin ignored.] 0, m = 0).

(a) (n=2,1 1,m=0|x|n=2,1 (b) (n=2,1=1, m=0|p|n=2,1 = = 0,m = 0). = 0, m = 0).

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