求助各位量子大侠能不能帮我看看这两道题?我实在是做的结果觉得不太对。先谢谢了
1.the translation operator for a finite displacement is given by F(L)=exp(-ip.L/h) where p is the momentum operator.
a, evaluate[xi, F(L)]
b, using result of a, demonstrate how the expectation value<x>changes under translation.
2.a, suppose that f(A)is a function of a hermitian operator A with the property A|a'>=a'|a'>. evaluate <b''|f(A)|b'>when the transformation matrix from the a' basis to the b' basis is known.
b, using the continuum analogue of the result obtained in a , evaluate <p''|F(r)|p'>.simplify your expresssion as far as you can. note that r is (x2+y2+z2)1/2. where x, y and z are operators |