- #1
Nikitin
- 735
- 27
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.
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?
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?