PROBLEM 1. Consider two Hermitian operators A and B defined by thematrices:iv 0a 0 00 b 00 0-iv 0where a, b, c, u, and v are real constants.1. Is the product A B a Hermitian operator?2. Do Â and B commute?3. What are the relations between a, b, c, u and v for which the answerto the questions 1 and 2 is yes?

An operator A^ is said to be Hermitian if A^=A^┼ Here ┼ is known as a dagger and it is the complex…

Answered: 1. Is the product A Ba Hermitian…

1. Is the product A Ba Hermitian operator? 2. Do Â and B commute? 3. What are the relations between a, b, c, u and v for which the answer to the questions 1 and 2 is yes?

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Question

PROBLEM 1. Consider two Hermitian operators A and B defined by the
matrices:
iv 0
a 0 0
0 b 0
0 0
-iv 0
where a, b, c, u, and v are real constants.
1. Is the product A B a Hermitian operator?
2. Do Â and B commute?
3. What are the relations between a, b, c, u and v for which the answer
to the questions 1 and 2 is yes?

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