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## Homework Statement

given a harmonic oscillator initially in a coherent state [alpha(0)>, alpha = pe^(iv) find the state of the system at time t.

## Homework Equations

H = hw/2pi(N+1/2) for harmonic oscillator

given answer: state at time t = e^(-iwt/2)[alpha(t)>

## The Attempt at a Solution

i've used the schro eqn to find the state but my answer is only dependant on [alpha(0)> rather than [alpha(t)> i figure i must be setting up the equation wrong but i cant figure out where. i'm not looking for a full solution, just want to know how exactly the coherent state [alpha> will vary in time here. any hints would be appreciated