Darboux related quantum integrable systems on a constant curvature surface

DOI10.1016/j.geomphys.2005.10.001zbMath1095.53027OpenAlexW1981174175WikidataQ126095671 ScholiaQ126095671MaRDI QIDQ2496765

Allan P. Fordy

Publication date: 20 July 2006

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2005.10.001

zbMATH Keywords

Laplace-Beltrami operatorDarboux transformationsLaplace-Beltramiquantum integrabilityintegrable deformations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

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The role of commuting operators in quantum superintegrable systems

Cites Work

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• On a class of polynomials connected with the Korteweg-de Vries equation
• Dressing chains and the spectral theory of the Schrödinger operator
• Separable systems of Stäckel
• Orthogonal polynomials in two variables
• Integrable Schrödinger operators with magnetic fields: Factorization method on curved surfaces
• The infinite-dimensional dressing dynamical system
• Introduction to Lie Algebras and Representation Theory
• SYMMETRIES, LADDER OPERATORS AND QUANTUM INTEGRABLE SYSTEMS