I am given the following:(adsbygoogle = window.adsbygoogle || []).push({});

A spherically propogating shell contains N neutrons, which are all in the sate

[tex]\psi[/tex](r,0)=4[tex]\pi[/tex]i[tex]j_{1}[/tex](kr)(3/[tex]\sqrt{34}[/tex][tex]Y^{0}_{1}[/tex]+5/[tex]\sqrt{34}[/tex][tex]Y^{-1}_{1}[/tex])

at t = 0.

How do we find [tex]\psi[/tex](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 [tex]e^{-i\omega*t}[/tex]. Then you would know that [tex]\hbar*\omega[/tex]=E. . . . right?

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

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