# Homework Help: Two state oscillations and quantum oscillator

1. Sep 18, 2012

### Beer-monster

1. The problem statement, all variables and given/known data

I was asked an interesting question once that I'd like to solve but have no idea where to start.

It's hard to remember the exact details but basically:

Two electrons are in a harmonic oscillator potential but in two separate states $\left | m \right \rangle$ and $\left | n \right \rangle$. I know these are stationary states but the combination of them are not.

I was asked something like what would the energy between the states need to be for the states to oscillate.

My understanding is that this means that the a certain condition electrons have equal probability of transition to the higher state m or dropping to the lower state n so the electrons basically hop back and forth between these states.

Does this make sense and how would I go about approaching this problem with the math?