Applications of Lie systems in Quantum Mechanics and Control Theory

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dc.creatorCariñena, José F.
dc.creatorRamos, Arturo
dc.date2003-05-09
dc.date.accessioned2026-07-07T04:30:11Z
dc.date.available2026-07-07T04:30:11Z
dc.descriptionSome simple examples from quantum physics and control theory are used to illustrate the application of the theory of Lie systems. We will show, in particular, that for certain physical models both of the corresponding classical and quantum problems can be treated in a similar way, may be up to the replacement of the involved Lie group by a central extension of it. The geometric techniques developed for dealing with Lie systems are also used in problems of control theory. Specifically, we will study some examples of control systems on Lie groups and homogeneous spaces.
dc.descriptionLaTeX, 28 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0305021
dc.identifierhttp://arxiv.org/abs/math-ph/0305021
dc.identifierIn the book: Classical and Quantum Integrability, Banach Center Publications, v, 59, p. 143 (2003)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57385
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectDifferential Geometry
dc.subjectOptimization and Control
dc.subjectQuantum Physics
dc.subjectPrimary 34A26; Secondary 81Q70, 93B29
dc.titleApplications of Lie systems in Quantum Mechanics and Control Theory
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