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A minimal coupling method for investigating one dimensional dissipative quantum systems

Quantum Physics 2007-05-23 v2

Abstract

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.

Keywords

Cite

@article{arxiv.quant-ph/0502076,
  title  = {A minimal coupling method for investigating one dimensional dissipative quantum systems},
  author = {F. Kheirandish and M. Amooshahi},
  journal= {arXiv preprint arXiv:quant-ph/0502076},
  year   = {2007}
}

Comments

14 pages, no figures