On global approximate controllability of a quantum particle in a box by moving walls

Autor:	Balmaseda, Aitor, Lonigro, Davide, Pérez-Pardo, Juan Manuel
Rok vydání:	2022
Předmět:	Mathematics - Optimization and Control Mathematical Physics Quantum Physics 81Q93 35Q41 35R37 35J10
Zdroj:	SIAM J. Control Optim. 62 (2024), 826-852
Druh dokumentu:	Working Paper
DOI:	10.1137/22M1518980
Popis:	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 Schr\"odinger equation and use a stability theorem for the time-dependent Schr\"odinger equation. Comment: 25 pages, 1 figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2208.13475 Zobrazit plný text záznamu View this record from Arxiv