dorsal/arxiv
View SchemaQuantum limit of deterministic theories
| Authors | M. Blasone, P. Jizba, G. Vitiello |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0302011 |
| URL | https://arxiv.org/abs/quant-ph/0302011 |
| DOI | 10.1143/JPSJS.72SC.50 |
| Journal | J.Phys.Soc.Jap.Suppl. 72 (2003) 50 |
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.
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"abstract": "We show that the quantum linear harmonic oscillator can be obtained in the\nlarge $N$ limit of a classical deterministic system with SU(1,1) dynamical\nsymmetry. This is done in analogy with recent work by G.\u0027t Hooft who\ninvestigated a deterministic system based on SU(2). Among the advantages of our\nmodel based on a non--compact group is the fact that the ground state energy is\nuniquely fixed by the choice of the representation.",
"arxiv_id": "quant-ph/0302011",
"authors": [
"M. Blasone",
"P. Jizba",
"G. Vitiello"
],
"categories": [
"quant-ph"
],
"doi": "10.1143/JPSJS.72SC.50",
"journal_ref": "J.Phys.Soc.Jap.Suppl. 72 (2003) 50",
"title": "Quantum limit of deterministic theories",
"url": "https://arxiv.org/abs/quant-ph/0302011"
},
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