Canonical equivalence of integrable systems, their associated (semi)- groups, and moment systems

DOI10.1016/0022-247X(86)90011-9zbMath0614.70015MaRDI QIDQ1819960

Henryk Gzyl

Publication date: 1986

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

generating functionssemigroupsintegrable systemsHilbert spacesHamiltonian systemsquantum systemunitary transformationMoment systems

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) General mathematical topics and methods in quantum theory (81Q99) Hamilton-Jacobi equations in mechanics (70H20) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Related Items (1)

Umbral calculus via integral transforms

Cites Work

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• Canonical transformations, umbral calculus and orthogonal theory
• Evolution semigroups and Hamiltonian flows
• Classical dynamics and its quantum analogues
• A signed measure on path space related to Wiener measure
• Operator calculus
• Canonical transformations to action and angle variables and their representations in quantum mechanics
• Special functions, probability semigroups, and Hamiltonian flows
• On the foundations of combinatorial theory. VIII: Finite operator calculus

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