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)
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?