- #1
soul
- 62
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Hi, everyone!
While I was studying for my midterm, I encountered this question.
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Consider the hermitian operator H that has the property that
H4 = 1
What are the eigenvalues of the operator H?
What are the eigenvalues if H is not restricted to being Hermitian?
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What I am going to ask is that does it matter this operator have a different power like H6 or H5? I mean what is the role of the power in this question? Also, I couldn't figure out that how I can find the eigenvalues of such operator when it is not Hermitian?
Thank you.
While I was studying for my midterm, I encountered this question.
------
Consider the hermitian operator H that has the property that
H4 = 1
What are the eigenvalues of the operator H?
What are the eigenvalues if H is not restricted to being Hermitian?
------
What I am going to ask is that does it matter this operator have a different power like H6 or H5? I mean what is the role of the power in this question? Also, I couldn't figure out that how I can find the eigenvalues of such operator when it is not Hermitian?
Thank you.