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## Homework Statement

Assume a free particle, V=0, in a infinite potential square well between -L/2 and L/2

solve for the wave function for this particle.

## Homework Equations

Time independent schrodinger equation

## The Attempt at a Solution

After arriving at the second order differential equation, I get a general solution of

ψ=Acos(kx) + Bsin(kx)

How do I go on to solve for A, B and k?

I've plugged in the boundary conditions, but the solution is still quite indeterminate.

I have to assume A=0, then ψ=Bsin(2n∏x/L)

however, if I assume B=0, I get ψ=Acos([2n+1]∏x/L)

which is correct?

I do need to pick one before going onto normalising right?