New formulas for the eigenfunctions of the two-particle difference Calogero-Moser system

DOI10.1007/S11005-009-0315-6zbMath1176.39005OpenAlexW2163692060MaRDI QIDQ839594

N. E. Zubov

Publication date: 2 September 2009

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

Full work available at URL: https://doi.org/10.1007/s11005-009-0315-6

zbMATH Keywords

eigenfunctionsCasorati determinantsDarboux-Pöschl-Teller equationdifference Calogero-Moser systemsdifference Darboux transformationsfunctional-difference deformation

Mathematics Subject Classification ID

Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Discrete version of topics in analysis (39A12)

Related Items (1)

Wronskian addition formula and Darboux-Pöschl-Teller potentials

Cites Work

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• Wronskian and Casorati determinant representations for Darboux–Pöschl–Teller potentials and their difference extensions
• Integrability of difference Calogero–Moser systems
• Generalized Lamé functions. II. Hyperbolic and trigonometric specializations
• Crum's Theorem for 'Discrete' Quantum Mechanics
• FUNCTIONAL-DIFFERENCE DEFORMATIONS OF DARBOUX-P ÖSHL-TELLER POTENTIALS
• Formulas for \(q\)-spherical functions using inverse scattering theory of reflectionless Jacobi operators

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