Many-body Wigner quantum systems

1996/06/04 by T. D. Palev, N. I. Stoilova · 3 citations
Computer Science · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum Information and Cryptography #Quantum and electron transport phenomena #hep-th

paper · pdf · doi:10.1063/1.531991

published as J.Math.Phys. 38 (1997) 2506-2523 · 20 pages, PlainTex

arxiv created 1996/06/04 · openalex publication_date 1997/05/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present examples of many-body Wigner quantum systems. The position and the momentum operators RA and PA, 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.

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