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Mathematics > Optimization and Control

arXiv:0709.1897 (math)
[Submitted on 12 Sep 2007]

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

Authors:Jian-Wu Wu, Chun-Wen Li, Jing Zhang, Tzyh-Jong Tarn
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Abstract: This 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.
Subjects: Optimization and Control (math.OC); Dynamical Systems (math.DS)
MSC classes: 49K35;81R50;22F05
Cite as: arXiv:0709.1897 [math.OC]
  (or arXiv:0709.1897v1 [math.OC] for this version)
  https://doi.org/10.48550/arXiv.0709.1897

Submission history

From: Jianwu Wu [view email]
[v1] Wed, 12 Sep 2007 15:11:08 UTC (264 KB)
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