Quantum Toda systems and Lax pairs

DOI10.1007/BF01205671zbMath0635.58022MaRDI QIDQ1097561

N. Ganoulis

Publication date: 1987

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

zbMATH Keywords

conserved quantitiesLax pairs\({bbfP}\) operatorfundamental Poisson bracketquantum mechanical Toda lattice

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Quantum field theory on lattices (81T25) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Lie algebras and Lie superalgebras (17B99)

Related Items (5)

Algebraic structure of the gradient-holonomic algorithm for Lax integrable nonlinear dynamical systems. II. The reduction via Dirac and canonical quantization procedure ⋮ A difference-equation formalism for the nodal domains of separable billiards ⋮ How to find the Lax pair from the Yang-Baxter equation ⋮ Classical Yang–Baxter equations and quantum integrable systems ⋮ Relativistic Chern–Simons–Higgs vortex equations

Cites Work

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• Representation theory and integration of nonlinear spherically symmetric equations to gauge theories
• Theory of nonlinear lattices
• Classical and quantum-mechanical systems of Toda lattice type. I
• Introduction to Lie Algebras and Representation Theory

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