OK I'm not sure if this should go in the math or quantum forum, but as I'm learning these in introductory QM I post the questions here. Please move the thread if the section is inappropriate.(adsbygoogle = window.adsbygoogle || []).push({});

Anyway, some questions:

* What is an inner product space?

* What is a hilbert space?

* What are hermitian operators and what do they do? From what I can see, hermitian operators are supposed to kill the complex output when used on an eigenfunction. However, how does "being hermitian" do that?

* In my lecture notes it is written an operator ##\hat{F}## is hermitian if ##\int (\hat{F} \Psi_1)^*\Psi_2 d\tau=\int (\Psi_1)^*\hat{F}\Psi_2 d\tau##, where the * represents complex conjugation. Uhm, why does that make something hermitian?

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# Hermitean operators?

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