A problem based on Quantum Physics 2

[sudipmaity]

Homework Statement

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

Homework Equations

The Attempt at a Solution

ψ(x, t)=φ(x)e^(-iEot/h).intuitively i think the answer should be Eot/h=2π. So t=2πh/Eo.But I am looking for a more rigid analytical method.please help.

 

[vela]

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