Dissipative quantum mechanics: A proof of dynamical consistency (Q1118895)

A full-blown consistency calculation - based either (i) on the explicit dynamical operator solutions of the Heisenberg equations, or alternatively (ii) on the operator Langevin equation - for a quantum oscillator interacting with an infinite thermal string yields the proper result that \([\zeta (t),p(t)]=i\hslash\) for all values of \(t>0\) given this value at \(t=0\), for all values of both the strength and the flexibility of the coupling between the particle and the field.