2016/09/30 by B. Basu-Mallick, Bhabani Prasad Mandal, Pinaki Roy · 12 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Bound state #Extension (predicate logic) #Harmonic #Harmonic oscillator #Laguerre polynomials #Mathematical physics #Nonlinear Waves and Solitons #Orthogonal polynomials #Physics #Pure mathematics #Quantum #Quantum Mechanics and Non-Hermitian Physics #Quantum mechanics #Quantum statistical mechanics #Range (aeronautics) #State (computer science) #Supersymmetric quantum mechanics #Wave function #cond-mat.str-el #hep-th #math-ph #math.MP #nlin.SI #quant-ph
paper · pdf · doi:10.1016/j.aop.2017.03.019
published in Annals of Physics 380, 206-212 (Elsevier BV) · 10 pages, Latex, No figs, Version to appear in Annals of Physics
arxiv created 2017/03/28 · openalex publication_date 2017/03/29 · arxiv updated 2017/04/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
By using the technique of supersymmetric quantum mechanics, we study a quasi exactly solvable extension of the N-particle rational Calogero model with harmonic confining interaction. Such quasi exactly solvable many particle system, whose effective potential in the radial direction yields a supersymmetric partner of the radial harmonic oscillator, is constructed by including new long-range interactions to the rational Calogero model. An infinite number of bound state energy levels are obtained for this system under certain conditions. We also calculate the corresponding bound state wave functions in terms of the recently discovered exceptional orthogonal Laguerre polynomials.