>Ψ(x,t) = phi(t)ψ(x) = Ae^(−Et/ℏ)ψ(x) This equation is missing a sum symbol, also it should be e^(-iEt/ℏ), where in the correct case the amplitude does not cha

>Ψ(x,t) = phi(t)ψ(x) = Ae^(−Et/ℏ)ψ(x) This equation is missing a sum symbol, also it should be e^(-iEt/ℏ), where in the correct case the amplitude does not change. What you get is a sum of products of each occupied stationary state and a time-dependent phase. So the general solution looks like this: https://en.wikipedia.org/w/index.php?title=User:Scythe33/sandbox&oldid=948716529 https://en.wikipedia.org/w/index.php?title=User:Scythe33/san...