Extended Hamiltonians and shift, ladder functions and operators

DOI10.1016/j.aop.2017.09.001zbMath1375.81150arXiv1705.09519OpenAlexW2617873381WikidataQ114209559 ScholiaQ114209559MaRDI QIDQ1682637

Claudia Maria Chanu, Giovanni Rastelli

Publication date: 5 December 2017

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

Full work available at URL: https://arxiv.org/abs/1705.09519

zbMATH Keywords

Schrödinger operatorquantizationfactorizationsuperintegrableextended Hamiltonianwarped manifold

Mathematics Subject Classification ID

Groups and algebras in quantum theory and relations with integrable systems (81R12) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (6)

Doubly exotic \(N\)th-order superintegrable classical systems separating in Cartesian coordinates ⋮ Separation of variables and superintegrability on Riemannian coverings ⋮ On the extended-Hamiltonian structure of certain superintegrable systems on constant-curvature Riemannian and pseudo-Riemannian surfaces ⋮ Extensions of nonnatural Hamiltonians ⋮ New infinite families of Nth-order superintegrable systems separating in Cartesian coordinates ⋮ Superintegrability on the three-dimensional spaces with curvature. Oscillator-related and Kepler-related systems on the sphere S ³ and on the hyperbolic space H ³

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