Harmonic Oscillator

1. Mar 26, 2007

Talib

Hello,

A harmonic oscillator is in the initial state:
Psi(x, 0) = Phi_n (x)
where Phi_n(x) is the nth solution of the time-independent Schr¨odinger equation.
What is Psi(x, t)?

Any clue?

Thanks

2. Mar 26, 2007

quasar987

Psi(x, t) is the solution of the time dependant Schrödinger equation (TDSE). The TDSE is a separable partial differential equation. More precisely, the solution to the TDSE is the product of the TISE and of [itex]\exp(iEt/\hbar)[/tex]:

$$\Psi(x,t)=\psi(x)e^{iEt/\hbar}$$

3. Mar 26, 2007

Talib

Thanks alot :):)