Dissipation and quantization for composite systems

Details Dissipation and quantization for composite systems Dissipation and quantization for composite systems

2009-05-25

arxiv.org/abs/0905.4078v1

Phys.Lett.A373:4106-4112,2009

Physics

Quantum Physics

9 pages

Scientific paper

10.1016/j.physleta.2009.09.016

In the framework of 't Hooft's quantization proposal, we show how to obtain from the composite system of two classical Bateman's oscillators a quantum isotonic oscillator. In a specific range of parameters, such a system can be interpreted as a particle in an effective magnetic field, interacting through a spin-orbit interaction term. In the limit of a large separation from the interaction region one can describe the system in terms of two irreducible elementary subsystems which correspond to two independent quantum harmonic oscillators.

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