Quantum limit of deterministic theories

Details Quantum limit of deterministic theories Quantum limit of deterministic theories

2003-02-02

arxiv.org/abs/quant-ph/0302011v2

J.Phys.Soc.Jap.Suppl. 72 (2003) 50

Physics

Quantum Physics

4 pages, 2 figures, minor corrections added. To appear in the Proceedings of Waseda International Symposium on Fundamental Phy

Scientific paper

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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