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## Homework Statement

Consider the time-dependent Schrodinger equation for a free particle in two spatial dimensions

Using the method of separation of variables, determine the wave function ψ(x,y,t)

## Homework Equations

## The Attempt at a Solution

Not sure how to do the separation here since it is a function of 3 variables, I'm inclined to think that Ψ(x,y,t) = f(x) g(y) j(t) can be assumed, hence substitute it in the equation and separate. Is it correct to assume that?