2007/09/12 by Jianwu Wu, Jian-Wu Wu, Chun-Wen Li +8
Computer Science · Mathematics · Physics and Astronomy · #22F05 #49K35 #81R50 #Dynamical Systems (math.DS) #FOS: Mathematics #Optimization and Control (math.OC) #Quantum Information and Cryptography #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #math.DS #math.OC #msc:22F05 #msc:49K35 #msc:81R50
paper · pdf · doi:10.48550/arxiv.0709.1897
arxiv created 2007/09/12 · openalex publication_date 2007/09/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.