The propagator of the Calogero-Moser system in an external quadratic potential

DOI10.1016/S0393-0440(98)00019-9zbMath0989.37064OpenAlexW2076213590MaRDI QIDQ1299161

V. Pereyra

Publication date: 3 April 2000

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

Full work available at URL: https://doi.org/10.1016/s0393-0440(98)00019-9

zbMATH Keywords

propagatorssemi-classical approximationclassical and quantum integrable systems

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Harmonic analysis on homogeneous spaces (43A85) Many-body theory; quantum Hall effect (81V70) (n)-body problems (70F10)

Related Items (1)

On a second Lax structure for the Calogero-Moser system: time-dependent constants and superintegrability

Cites Work

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• Erratum: Solution of the one-dimensional N-body problems with quadratic and/or inversely quadratic pair potentials [J. Math. Phys. 12, 419–436 (1971)]
• Laplace operators on semisimple Lie groups

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