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| {classical, space, random} |
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Quantum limit of deterministic theories
M. Blasone, P. Jizba, G. Vitiello
abstract: We show that the quantum linear harmonic oscillator can be obtained in the
large $N$ limit of a classical deterministic system with SU(1,1) dynamical
symmetry. This is done in analogy with recent work by G.'t Hooft who
investigated a deterministic system based on SU(2). Among the advantages of our
model based on a non--compact group is the fact that the ground state energy is
uniquely fixed by the choice of the representation.
- oai_identifier:
- oai:arXiv.org:quant-ph/0302011
- categories:
- quant-ph
- comments:
- 4 pages, 2 figures, minor corrections added. To appear in the
Proceedings of Waseda International Symposium on Fundamental Physics: "New
Perspectives in Quantum Physics", 12-15 November 2002, Waseda University,
Tokyo, Japan
- arxiv_id:
- quant-ph/0302011
- journal_ref:
- J.Phys.Soc.Jap.Suppl. 72 (2003) 50
- created:
- 2003-02-02
- updated:
- 2003-05-12
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