A classification of periodic time-dependent generalized harmonic oscillators using a Hamiltonian action of the Schrödinger-Virasoro group

DOI10.1142/S1793744210000168zbMath1195.22016arXiv0806.1185MaRDI QIDQ986675

Jérémie M. Unterberger

Publication date: 11 August 2010

Published in: Confluentes Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.1185

zbMATH Keywords

harmonic oscillatorsVirasoro algebratime-dependent Schrödinger equation

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Geometric methods in ordinary differential equations (34A26) Applications of Lie groups to the sciences; explicit representations (22E70) PDEs in connection with quantum mechanics (35Q40) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65)

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