Classical and quantum integrability for a class of potentials in two dimensions.

DOI10.1016/J.AOP.2003.08.017zbMath1040.81035OpenAlexW2039584542MaRDI QIDQ1428225

D. Massart

Publication date: 14 March 2004

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aop.2003.08.017

zbMATH Keywords

integrabilityquantum correctionsquantum invariantsclassical invariantssecond constant of motionspace diagram

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Groups and algebras in quantum theory and relations with integrable systems (81R12) Integrable cases of motion in rigid body dynamics (70E40)

Related Items (3)

Nonintegrability of the three-body problems for the classical helium atom ⋮ Dynamical invariants for time-dependent real and complex Hamiltonian systems ⋮ Classical and quantum integrability of the three-dimensional generalized trapped ion Hamiltonian

Cites Work

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• Construction of the second constant of motion for two-dimensional classical systems
• Dynamical Noether invariants for time-dependent nonlinear systems
• Construction of new integrable Hamiltonians in two degrees of freedom
• Dynamical algebraic approach and invariants for time-dependent Hamiltonian systems in two dimensions
• Exact Quantization Conditions. II
• Integrals of nonlinear equations of evolution and solitary waves

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