If given, for instance, psi(phi, 0)=[1/sqrt(2pi)](cos^2(phi/2) + isin(phi)), which is the wavefunction at t=0, how do you go about finding the wavefunction at time t, psi(phi,t)??
The Attempt at a Solution
Would it simply be psi(phi, t)=psi(phi,0)e^(-iEt/hbar)??
The given wavefunction is for a particle on a ring.... and for that, E_n=(hbar^2)(m^2)/(2I) where I=mr^2. Is that the value of "E" I plug into the above equation??
Is there any other constant that I have to multiply the psi(phi,t) equation by as a result of adding on the e^(-iEt/hbar) term??
Any help would be great, I'm not entirely sure if I get this :-/