1. The problem statement, all variables and given/known data The wavefunction ψ(x,t) obeys the time-dependent Schrodinger equation for a free particle of mass m moving in one dimension. Show that a second wavefunction φ(x,t) = ei(ax-bt)ψ(x-vt , t) obeys the same time dependent schrodinger equation, provided a = ħa2/2m and v = ħa/m 2. Relevant equations The time dependent schrodinger equation is iħ∂φ/∂t = Hφ Hφ = -ħ2/2m * ∂2φ/∂x2 3. The attempt at a solution Taking the partial derivative of φ with respect to t, and using the product rule, you have to take ∂ψ(x-vt, t)/∂t and I'm not sure how to do this.