1999/02/09 by John S Briggs, Jan M Rost · 60 citations
Physics and Astronomy · #Classical limit #Cold Atom Physics and Bose-Einstein Condensates #Generalization #Limit (mathematics) #Quantum #Quantum and Classical Electrodynamics #Quantum chaos and dynamical systems #Quantum dissipation #Quantum dynamics #Quantum limit #Quantum process #Quantum system #quant-ph
paper · pdf · doi:10.1007/s100530050554
published in The European Physical Journal D 10(3), 311 (Springer Science+Business Media) · 7 pages, no figures
arxiv created 1999/02/09 · arxiv updated 2009/12/01
It is shown that the time-dependent equations (Schrödinger and Dirac) for a quantum system can be always derived from the time-independent equation for the larger object of the system interacting with its environment, in the limit that the dynamical variables of the environment can be treated semiclassically. The time which describes the quantum evolution is then provided parametrically by the classical evolution of the environment variables. The method used is a generalization of that known for a long time in the field of ion-atom collisions, where it appears as a transition from the full quantum mechanical \it perturbed stationary states to the impact parameter method in which the projectile ion beam is treated classically.