A minimal coupling method for investigating one dimensional dissipative quantum systems

Details A minimal coupling method for investigating one dimensional dissipative quantum systems A minimal coupling method for investigating one dimensional dissipative quantum systems

2005-02-13

arxiv.org/abs/quant-ph/0502076v2

Physics

Quantum Physics

14 pages, no figures

Scientific paper

Quantum mechanics of a general one dimensional dissipative system investigated by it's coupling to a Klein-Gordon field as the environment using a minimal coupling method. Heisenberg equation for such a dissipative system containing a dissipative term proportional to velocity obtained. As an example, quantum dynamics of a damped harmonic oscillator as the prototype of some important one dimensional dissipative models investigated consistently. Some transition probabilities indicating the way energy flows between the subsystems obtained.

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