2001/09/03 by Ryu Sasaki, R. Sasaki, Kanehisa Takasaki +1 路 5 citations
Mathematics 路 Physics and Astronomy 路 #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #hep-th #math-ph #math.MP #math.QA #nlin.SI #quant-ph
paper 路 pdf 路 doi:10.1088/0305-4470/34/44/313
published as J.Phys.A34:9533-9554,2001; Erratum-ibid.A34:10335,2001 路 LaTeX2e 28 pages, no figures
arxiv created 2001/09/03 路 openalex publication_date 2001/10/31 路 arxiv updated 2009/11/30 路 openalex created_date 2016/06/24 路 openalex updated_date 2026/07/30
Inozemtsev models are classically integrable multi-particle dynamical systems related to Calogero-Moser (CM) models. Because of the additional q 6 (rational models) or sin 2 2 q (trigonometric models) potentials, their quantum versions are not exactly solvable, in contrast to CM models. We show that quantum Inozemtsev models can be deformed to be a widest class of partly solvable (or quasi-exactly solvable) multi-particle dynamical systems. They posses -fold supersymmetry, which is equivalent to quasi-exact solvability. A new method for identifying and solving quasi-exactly solvable systems, the method of pre-superpotential, is presented.