Many-body Wigner quantum systems

We present examples of many-body Wigner quantum systems. The position and the momentum operators R A and P A , A=1,…,n+1, of the particles are noncanonical and are chosen so that the Heisenberg and the Hamiltonian equations are identical. The spectrum of the energy with respect to the center of mass...

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Bibliographic Details
Published in:Journal of mathematical physics 1997-05, Vol.38 (5), p.2506-2523
Main Authors: Palev, T. D., Stoilova, N. I.
Format: Article
Language:English
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Summary:We present examples of many-body Wigner quantum systems. The position and the momentum operators R A and P A , A=1,…,n+1, of the particles are noncanonical and are chosen so that the Heisenberg and the Hamiltonian equations are identical. The spectrum of the energy with respect to the center of mass is equidistant and has finite number of energy levels. The composite system is spread in a small volume around the center of mass and within it the geometry is noncommutative. The underlying statistics is an exclusion statistics.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.531991