Many-Body Wigner Quantum Systems

Details Many-Body Wigner Quantum Systems Many-Body Wigner Quantum Systems

1996-06-04

arxiv.org/abs/hep-th/9606011v1

J.Math.Phys. 38 (1997) 2506-2523

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, PlainTex

Scientific paper

10.1063/1.531991

We present examples of many-body Wigner quantum systems. The position and the momentum operators ${\bf R}_A$ and ${\bf P}_A,\; A=1,\ldots,n+1$, 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 centre of mass is equidistant and has finite number of energy levels. The composite system is spread in a small volume around the centre of mass and within it the geometry is noncommutative. The underlying statistics is an exclusion statistics.

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