Connection between Calogero-Marchioro-Wolfes type few-body models and free oscillators

1998/04/20 by N. Gurappa, Avinash Khare, Prasanta K. Panigrahi +1 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #cond-mat #hep-th #nlin.SI #quant-ph #solv-int

paper · pdf · doi:10.1016/s0375-9601(98)00471-x

published as Phys.Lett. A244 (1998) 467-472 · 10 pages, REVTeX, Minor corrections

arxiv created 1998/04/20 · openalex publication_date 1998/08/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We establish the exact correspondence of the Calogero-Marchioro-Wolfes model and several of its generalizations with free oscillators. This connection yields the eigenstates and leads to a proof of the quantum integrability. The usefulness of our method for finding new solvable models is then demonstrated by an example.

Citations

• Solution of the One-Dimensional N-Body Problems with Quadratic and/or Inversely Quadratic Pair Potentials

Cited by

• Unified algebraic approach to few- and many-body correlated systems