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Title changed to reflect the actual question
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edit approved Apr 25, 2018 at 21:44
user74560
edit approved Apr 25, 2018 at 21:44
user74560

Hermitian operator and reality of If all the eigenvalues of an operator are real, is the operator Hermitian?

ProveHow do I prove or disprove:

The eigenvalues of an operator are all real if and only if the operator is hermitian.following statement?

The eigenvalues of an operator are all real if and only if the operator is Hermitian.

I know the proof in one way;way, that is, I know how to prove that if the operator is hermitianHermitian, then the eigenvalues must be real. It's the other direction that I'm not sure.

Hermitian operator and reality of eigenvalues

Prove or disprove:

The eigenvalues of an operator are all real if and only if the operator is hermitian.

I know the proof in one way; that is, I know how to prove that if the operator is hermitian, then the eigenvalues must be real. It's the other direction that I'm not sure.

If all the eigenvalues of an operator are real, is the operator Hermitian?

How do I prove or disprove the following statement?

The eigenvalues of an operator are all real if and only if the operator is Hermitian.

I know the proof in one way, that is, I know how to prove that if the operator is Hermitian, then the eigenvalues must be real. It's the other direction that I'm not sure.

hermitic-> hermitian; removed greeting; retagged;
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Qmechanic ♦
Qmechanic ♦
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Hermitic Hermitian operator and reality of eigenvalues

Prove or disprove:

The eigenvalues of an operator are all real if and only if the operator is hermitichermitian.

I know the proof in one way; that is, I know how to prove that if the operator is hermitichermitian, then the eigenvalues must be real. It's the other direction that I'm not sure.

Thanks.

Hermitic operator and reality of eigenvalues

Prove or disprove:

The eigenvalues of an operator are all real if and only if the operator is hermitic.

I know the proof in one way; that is, I know how to prove that if the operator is hermitic, then the eigenvalues must be real. It's the other direction that I'm not sure.

Thanks.

Hermitian operator and reality of eigenvalues

Prove or disprove:

The eigenvalues of an operator are all real if and only if the operator is hermitian.

I know the proof in one way; that is, I know how to prove that if the operator is hermitian, then the eigenvalues must be real. It's the other direction that I'm not sure.

Tweeted twitter.com/#!/StackPhysics/status/133866592479088641
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a06e
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Hermitic operator and reality of eigenvalues

Prove or disprove:

The eigenvalues of an operator are all real if and only if the operator is hermitic.

I know the proof in one way; that is, I know how to prove that if the operator is hermitic, then the eigenvalues must be real. It's the other direction that I'm not sure.

Thanks.