Time Dependence in Quantum Mechanics

Details Time Dependence in Quantum Mechanics Time Dependence in Quantum Mechanics

1999-02-09

arxiv.org/abs/quant-ph/9902035v1

Physics

Quantum Physics

7 pages, no figures

Scientific paper

10.1007/s100530050554

It is shown that the time-dependent equations (Schr\"odinger 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.

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