Problem 3.4 (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 Ô hermitian? (c) When is the product of two hermitian operators hermitian? (d) Show that the position operator (x) and the Hamiltonian operator (Ĥ = -(h²/2m )d² /dx² + V (x)) are hermitian.
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Question related to
![Problem 3.4
(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 Ô hermitian?
(c) When is the product of two hermitian operators hermitian?
(d)
Show that the position operator (x) and the Hamiltonian operator
(Ĥ = -(h²/2m )d² /dx² + V (x)) are hermitian.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1a4c5c7f-120e-4cd5-a2cd-d2b8263ea035%2F539b3e9c-e86c-4c5e-b4e0-7f8332f83459%2Fitvgxx6_processed.png&w=3840&q=75)
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