On Algebraic Integrability of the Deformed Elliptic Calogero­Moser Problem

DOI10.2991/JNMP.2001.8.1.5zbMath0973.35159arXivmath-ph/0406052OpenAlexW3122023494MaRDI QIDQ2709895

L. A. Khodarinova, I. A. Prikhodsky

Publication date: 17 April 2001

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

Full work available at URL: https://arxiv.org/abs/math-ph/0406052

zbMATH Keywords

Weierstrass elliptic functionsalgebraic integrabilityCalogero-Moser quantum problem

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) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

Related Items (1)

Quantum integrability of the deformed elliptic Calogero–Moser problem

Cites Work

• Quantum integrable systems and differential Galois theory
• Commutative rings of partial differential operators and Lie algebras
• New integrable generalizations of Calogero–Moser quantum problem
• Algebraic Spectral Relations for Elliptic Quantum Calogero-Moser Problems

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