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Dissipation and quantization for composite systems |
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| Authors: | Massimo Blasone Petr Jizba Fabio Scardigli Giuseppe Vitiello |
| Affiliation: | a INFN, Gruppo Collegato di Salerno, Fisciano (SA) - 84084, Italy b DMI, Universita' di Salerno, Fisciano (SA) - 84084, Italy c ITP, Freie Universität Berlin, Arnimallee 14, D-14195 Berlin, Germany d FNSPE, Czech Technical University in Prague, Br?ehová 7, 115 19 Praha 1, Czech Republic e Leung Center for Cosmology and Particle Astrophysics (LeCosPA), Department of Physics, National Taiwan University, Taipei 106, Taiwan f Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan |
| 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. |
| Keywords: | 03.65.Ta 03.65-w |
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