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20 April 2024
 
  » arxiv » quant-ph/0302011

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Quantum limit of deterministic theories
M.Blasone ; P.Jizba ; G.Vitiello ;
Date 2 Feb 2003
Journal J.Phys.Soc.Jap.Suppl. 72 (2003) 50
Subject quant-ph
AbstractWe 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.
Source arXiv, quant-ph/0302011
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