I had EXACTLY the same dilemma, at the same age... I chose option A, but 2 years later I switched to Engineering Physics and found out this is, for an undergraduate degree, the field I feel most comfortable with. I think it gives me the chance to choose later the Aerospace or a more theoretical...
Well, I think you can still get eigenvalues for non-hermitian operators. If you calculate the modulus of the eigenvalue and the eigenfunction (multiplying by its complex conjugate) you'll find you need the eigenvalue's modulus to be 1. So you can propose it to be exp(-i*alpha). It should make...
I'm sorry, it's not hermitian. Got confused using bra-kets to prove it.
C(psi)=(psi*)
If it were hermitian then the integral (psi*)C(psi) would be equal to that of (psi)(C(psi*)), but substituting C(psi) in the integrals yields (psi*)(psi*) is equal to (psi)(psi). I guess it would be an...
Homework Statement
C is an operator that changes a function to its complex conjugate
a) Determine whether C is hermitian or not
b) Find the eigenvalues of C
c) Determine if eigenfunctions form a complete set and have orthogonality.
d) Why is the expected value of a squared hermitian...