# Schrodinger equation help

1. Oct 25, 2005

### mathlete

I'm given the value of a normalized wave function at t=0 (see attachment) and i'm asked to find the wave function at some time t. I have no idea where to even begin, the book has zero examples of anything and I'm just stuck

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2. Oct 25, 2005

### Tom Mattson

Staff Emeritus
What does your book have to say about the time evolution of a wavefunction? More specifically, have you been told what the time evolution operator is?

3. Oct 25, 2005

### Physics Monkey

mathlete,

I can't see yout attachment so I don't know what level you're at, therefore I'm going to give a fairly basic approach. If I have an exact energy state $$\psi_E(x)$$ that satisfies the time independent Schrodinger equation $$H \psi_E = -\frac{\hbar^2}{2m} \frac{d^2\psi_E}{dx^2} + V \psi_E= E \psi_E,$$ then how does $$\psi_E$$ change in time? Hint: use the time dependent Schrodinger equation.