# Given a wave function at t=0, how do you find the wave function at time t?

by Demon117
Tags: function, time, wave
 P: 165 I am given the following: A spherically propogating shell contains N neutrons, which are all in the sate $$\psi$$(r,0)=4$$\pi$$i$$j_{1}$$(kr)(3/$$\sqrt{34}$$$$Y^{0}_{1}$$+5/$$\sqrt{34}$$$$Y^{-1}_{1}$$) at t = 0. How do we find $$\psi$$(r,t)? My attempt: I have a few thoughts; could you apply the time-independent schrodinger equation to find the energy of the state? If that is the case then you would simply tack on the factor of $$e^{-i\omega*t}$$. Then you would know that $$\hbar*\omega$$=E. . . . right?