The time-dependent Schrödinger equation revisited

quantum optical and classical Maxwell routes to Schrödinger's wave equation

Marlan O. Scully

pp. 15-24

in: Gonzalo Muga, Andreas Ruschhaupt, Adolfo del Campo (eds), Time in quantum mechanics II, Berlin, Springer, 2009

Abstract

In a previous paper [1–3] we presented quantum field theoretical and classical (Hamilton–Jacobi) routes to the time-dependent Schrödinger's equation (TDSE) in which the time t and position r are regarded as parameters, not operators. From this perspective, the time in quantum mechanics is argued as being the same as the time in Newtonian mechanics. We here provide a parallel argument, based on the photon wave function, showing that the time in quantum mechanics is the same as the time in Maxwell equations.

Cited authors

Schrödinger Erwin