Answered: (a) Show that the sum of two hermitian… | bartleby

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(a) Show that the sum of two hermitian operators is hermitian.
(b) Suppose Ô is hermitian, and a is a complex number. Under what condition
(on a) is a Q hermitian?
(c) When is the product of two hermitian operators hermitian?
(d) Show that the position operator (f = x) and the hamiltonian operator (H =
-(h2/2m)d²/dx2? + V (x)) are hermitian.

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