both pls 1) Which of the following operator(s) is/are Hermitian? a) id/dy? b) d/dy2 c) id/dy...

Question

Question

both pls

Answer 1

Answer #1

Question 1.

The operators d²/dy² and id/dy (b and c) are Hermitian.

Question 2.

i) d²/dy² (Sin ay) = -Sin ay

Therefore, the eigenvalue is -1.

ii) d/dy (e^-iay) = e^-iay * (-ia)

Therefore, the eigenvalue is -ia.

Answer 2

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