Eigenstates of Calogero–Sutherland–Moser model and generalized Schur functions

DOI10.1063/1.530552zbMath0808.35119OpenAlexW2033510192MaRDI QIDQ4314214

Kiyoshi Sogo

Publication date: 20 November 1994

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.530552

zbMATH Keywords

general linear groupcomplete set of eigenfunctionshomogeneous Laurent polynomials

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40)

Related Items (6)

Applications of a Laplace-Beltrami operator for Jack polynomials ⋮ Exact solution of the Schrödinger equation for a particle in a regular \(N\)-simplex ⋮ Coulomb system equivalent to the energy spectrum of the Calogero-Sutherland-Moser (CSM) model ⋮ Algebraic exact solvability of trigonometric-type Hamiltonians associated to root systems ⋮ Inequivalent quantizations of the N=3 Calogero model with scale and mirror-S3 symmetry ⋮ Jack–Laurent symmetric functions

Cites Work

• Three integrable Hamiltonian systems connected with isospectral deformations
• Excited States of Calogero-Sutherland-Moser Model –Classification by Young Diagrams
• ‘‘Spinon gas’’ description of theS=1/2 Heisenberg chain with inverse-square exchange: Exact spectrum and thermodynamics

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