The Discrete Spectrum States of Finite-Dimensional Quantum Systems Connected with Lie Algebras

DOI10.1088/0031-8949/33/2/001zbMath1063.81562OpenAlexW1995146956MaRDI QIDQ4491084

V. I. Inozemtsev, D. V. Meshcheryakov

Publication date: 24 July 2000

Published in: Physica Scripta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0031-8949/33/2/001

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

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Spectrum and eigenfunctions of the lattice hyperbolic Ruijsenaars-Schneider system with exponential Morse term ⋮ On the eigenfunctions of hyperbolic quantum Calogero-Moser-Sutherland systems in a Morse potential ⋮ Inozemtsev's hyperbolic spin model and its related spin chain ⋮ A new perspective on the integrability of Inozemtsev's elliptic spin chain ⋮ A unified construction of generalized classical polynomials associated with operators of Calogero-Sutherland type ⋮ A special set of eigenvectors for the hyperbolic Sutherland systems ⋮ Wave functions for quantum integrable particle systems via partial confluences of multivariate hypergeometric functions

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