论文标题
关于通过移动壁在盒子中量子粒子的全球近似可控性
On global approximate controllability of a quantum particle in a box by moving walls
论文作者
论文摘要
我们研究了一个由被困在盒子中的自由量子粒子组成的系统，其墙壁可以改变其位置。我们证明了系统的全球近似可控性。也就是说，任何初始状态都可以任意地接近自由粒子的希尔伯特空间中的任何目标状态，并以盒子的预定最终位置。为此，我们考虑了schrödinger方程的弱解，并使用稳定定理进行时间依赖性的schrödinger方程。
We study a system composed of a free quantum particle trapped in a box whose walls can change their position. We prove the global approximate controllability of the system. That is, any initial state can be driven arbitrarily close to any target state in the Hilbert space of the free particle with a predetermined final position of the box. To this purpose we consider weak solutions of the Schrödinger equation and use a stability theorem for the time-dependent Schrödinger equation.
