量子系统在SU（1，1）上演化的能量最优控制
Energy Optimal Control for Quantum System Evolving on SU(1,1)
摘要：
本文讨论了在量子理论的各种物理问题中广泛研究的具有SU（1，1）动力学对称性的量子系统的能量最优控制问题。基于李群上的最大值原理，解析地得到了完整的最优控制集，包括正常极值和异常极值。结果表明，正常极值控制可以用Weierstrass椭圆函数表示，而异常极值控制只能是时间t的常数函数。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
