Recent content by YingXiao

Ugh, this is trivial -- the real and complex components of the time independent Schrödinger equation are independent of each other if the potential is purely real. So the real component is a solution on its own with the desired eigenvalue.

Hmm, it doesn't look like you've used the hypothesis that we're in the ground state -- that's a little worrying as otherwise it would be true for all states. Do you use the hypothesis under the time reversal => complex conjugate part? Also, clearly the stationary state is time independent...

Interesting, I had no idea that the ground state wavefunction is real...can you provide some intuition/justification/proof?

I recently saw the Rayleigh Ritz variational approach used in spectral graph theory, so I was curious to look it up again in the quantum mechanics context. Anyway, there was a real sticking point quite quickly... When we pick our trial wave function, because we want our overlap integrals...