论文标题
量子对称转子的单输入扰动控制
Single-input perturbative control of a quantum symmetric rotor
论文作者
论文摘要
我们认为由Z线性极化电场驱动的旋转对称刚性分子(对称转子)的Schrödinger部分微分方程,是脱离无限二维双线性控制系统的原型。通过引入抽象扰动标准,我们将其同时的近似可控性分类;基于这种见解,我们在数值上执行旋转种群的定向选择性转移。
We consider the Schrödinger partial differential equation of a rotating symmetric rigid molecule (symmetric rotor) driven by a z-linearly polarized electric field, as prototype of degenerate infinite-dimensional bilinear control system. By introducing an abstract perturbative criterium, we classify its simultaneous approximate controllability; based on this insight, we numerically perform an orientational selective transfer of rotational population.