Homework Help: Find the transition probability

1. Mar 23, 2015

tgr042

Applying an operator to an initial state can cause it to change into a different state , if is not an eigenstate of . The probability for this transition to occur is , where is called the transition amplitude. Consider the case where the initial state is the state of the harmonic oscillator, , the final state is the state of the harmonic oscillator, , and the operator is . ( is the position operator.) Find the transition probability from to .

I really am not even sure where to start......

2. Mar 23, 2015

QuasiParticle

Look up the eigenfunctions of the harmonic oscillator, operate with the given operator on the initial state, integrate according to the definition of the transition amplitude.

3. Mar 23, 2015

tgr042

When you say on the initial state do you mean when psi(n)=1/sqrt(n) a+ psi(n-1) or do you mean psi(2)=1/sqrt(2) a+ psi(1)

4. Mar 24, 2015