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arXiv · 0905.4078

Dissipation and quantization for composite systems

M. Blasone·P. Jizba·F. Scardigli·G. Vitiello
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Abstract

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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M. Blasone, P. Jizba, F. Scardigli, G. Vitiello. 2009-05-25. Dissipation and quantization for composite systems. https://doi.org/10.1016/j.physleta.2009.09.016

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