SPECIAL ISSUE: Proceedings of the Conference on Particle Physics, Astrophysics and Quantum Field Theory: 75 Years since Solvay Nanyang Executive Centre, Singapore, 27–29 November 2008; Editors: A. H. Chan and B. E. Baaquie (National University of Singapore), N. P. Chang (City University of New York), C. H. Oh (National University of Singapore), K. K. Phua (IAS, Nanyang Technological University)No Access

DETERMINISM BENEATH COMPOSITE QUANTUM SYSTEMS

MASSIMO BLASONE

INFN, Gruppo Collegato di Salerno, Italy

DMI, Universita' di Salerno, Fisciano (SA) – 84084, Italy

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GIUSEPPE VITIELLO

INFN, Gruppo Collegato di Salerno, Italy

DMI, Universita' di Salerno, Fisciano (SA) – 84084, Italy

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PETR JIZBA

ITP, Freie Universität Berlin, Arnimallee 14 D-14195 Berlin, Germany

FNSPE, Czech Technical University in Prague, Břehová 7, 115 19 Praha 1, Czech Republic

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FABIO SCARDIGLI

Leung Center for Cosmology and Particle Astrophysics (LeCosPA), Department of Physics, National Taiwan University, Taipei 106, Taiwan

Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan

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https://doi.org/10.1142/S0217751X09047314Cited by:0 (Source: Crossref)

Abstract

This paper aims at the development of 't Hooft's quantization proposal to describe composite quantum mechanical systems. In particular, we show how 't Hooft's method can be utilized to obtain from two classical Bateman oscillators a composite quantum system corresponding to a quantum isotonic oscillator. For a suitable range of parameters, the composite system can be also interpreted as a particle in an effective magnetic field interacting through a spin-orbital interaction term. In the limit of a large separation from the interaction region we can identify the irreducible subsystems with two independent quantum oscillators.

PACS: 03.65.Ta, 03.65-w, 45.20.Jj

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DETERMINISM BENEATH COMPOSITE QUANTUM SYSTEMS

Abstract

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