On the equivalence of the rational Calogero-Moser system to free particles

1998/10/22 by Tomasz Brzeziński, Tomasz Brzezinski, Cezary Gonera +2 · 4 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #cond-mat #hep-th #math-ph #math.MP #nlin.SI #solv-int

paper · pdf · doi:10.1016/s0375-9601(99)00149-8

published as Phys.Lett. A254 (1999) 185-196 · 16 pages, LaTeX

arxiv created 1998/10/22 · openalex publication_date 1999/04/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The canonical transformation and its unitary counterpart which relate the rational Calogero-Moser system to the free one are constructed.

Citations

• Explicit Solution to the N-Body Calogero Problem
• Solution of the One-Dimensional N-Body Problems with Quadratic and/or Inversely Quadratic Pair Potentials
• Interacting Fermion Systems from Two Dimensional QCD

Cited by

• Remarks on Multi-Dimensional Conformal Mechanics
• 𝒩 = 4 superconformal Calogero models
• Remark on quantum mechanics with Schrödinger supersymmetry
• Unified algebraic approach to few- and many-body correlated systems