Dissipation and quantization for composite systems
Quantum Physics
2009-11-13 v1 High Energy Physics - Theory
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.
Cite
@article{arxiv.0905.4078,
title = {Dissipation and quantization for composite systems},
author = {M. Blasone and P. Jizba and F. Scardigli and G. Vitiello},
journal= {arXiv preprint arXiv:0905.4078},
year = {2009}
}
Comments
9 pages