Energy Optimal Control for Quantum System Evolving on SU(1,1)

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dc.creatorWu, Jian-Wu
dc.creatorLi, Chun-Wen
dc.creatorZhang, Jing
dc.creatorTarn, Tzyh-Jong
dc.date2007-09-12
dc.date.accessioned2026-07-07T08:29:10Z
dc.date.available2026-07-07T08:29:10Z
dc.descriptionThis paper discusses the energy optimal control problem for the class of quantum systems that possess dynamical symmetry of SU(1,1), which are widely studied in various physical problems in the quantum theory. Based on the maximum principle on Lie group, the complete set of optimal controls are analytically obtained, including both normal and abnormal extremals. The results indicate that the normal extremal controls can be expressed by the Weierstrass elliptic function, while the abnormal extremal controls can only be constant functions of time t.
dc.identifierhttps://arxiv.org/abs/0709.1897
dc.identifierhttp://arxiv.org/abs/0709.1897
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137873
dc.subjectOptimization and Control
dc.subjectDynamical Systems
dc.subject49K35;81R50;22F05
dc.titleEnergy Optimal Control for Quantum System Evolving on SU(1,1)
dc.typetext

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