Answer to Question #309 in Quantum Mechanics for Mel

Question

How will the full wave function Ψ(x, t), which describes the stationary states, change if you change the origin of the potential energy at some value of ΔU?

Answer 1

Only the time factor of the total wave function will change. And since only the square modulus of this function has a physical meaning, the change in the time factor will not affect anything.