低正则性双线性薛定谔方程的能量估计
Energy Estimates for Low Regularity Bilinear Schrödinger Equations
摘要：
本文给出了具有无界势的双线性无限维量子系统控制的全变差能量估计。这些估计允许一个严格的建设与控制有界变化的传播。此外，给出了用有限维Galerkin近似代替无穷维系统时所产生的误差的上界。
英文摘要：
This paper presents an energy estimate in terms of the total variation of the control for bilinear infinite dimensional quantum systems with unbounded potentials. These estimates allow a rigorous construction of propagators associated with controls of bounded variation. Moreover, upper bounds of the error made when replacing the infinite dimensional system by its finite dimensional Galerkin approximations is presented.
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。
