# A problem based on Quantum Physics 2

1. Dec 22, 2013

### sudipmaity

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

The wave function of a particle in a stationary state with an energy Eo at time t=0 is Ïˆ(x).after how much minimum time the wave function will be Ïˆ(x) again.

2. Relevant equations

3. The attempt at a solution
Ïˆ(x, t)=Ï†(x)e^(-iEot/h).intuitively i think the answer should be Eot/h=2Ï€. So t=2Ï€h/Eo.But I am looking for a more rigid analytical method.please help.

2. Dec 22, 2013

### vela

Staff Emeritus
That's essentially it. If you want to be more pedantic, you could solve $e^{iE_0 t/\hbar} = 1$ for t.