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## Homework Statement

Consider the free-particle wavefunction,

ψ(x)=(pi/a)^(-1/4)*exp(-ax^2/2)

Find ψ(x,t)

## The Attempt at a Solution

The wavefunction is already normalized, so the next thing to find is coefficient expansion function (θ(k)), where:

θ(k)=∫dx*ψ(x)*exp(-ikx) from -infinity to infinity

But this equation seems to be impossible to solve without error function (as maple 16 tells me).

Is there any trick to solve this?