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Quantum limit of deterministic theories

M. Blasone·P. Jizba·G. Vitiello
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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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M. Blasone, P. Jizba, G. Vitiello. 2003-05-12. Quantum limit of deterministic theories. https://doi.org/10.1143/jpsjs.72sc.50

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