The wavefunction psi is often separated into two parts, the time dependent part and the part which has only spatial dependence (phi), and this I think can only be done if we assume that the potential is not a function of time. I often see proofs where we have H acting on phi (not psi) and we get H (phi1) = E1*phi1. However this equation is essentially just the TISE, which of course only applies for time independent potentials. Does this mean that we should generally assume that the potential is not a function of time while working with eigenfunctions of different observables?
Also, does the potential not being a function of time essentially the same as having an isolated system?
Sachi
Also, does the potential not being a function of time essentially the same as having an isolated system?
Sachi