An obstruction to small-time controllability of the bilinear Schrodinger equation

被引：4
|
作者：
Beschastnyi, Ivan [1 ]
Boscain, Ugo [2 ]
Sigalotti, Mario [2 ]
机构：
[1] Univ Aveiro, CIDMA, Aveiro, Portugal
[2] Univ Paris, Sorbonne Univ, CNRS, INRIA,Lab Jacques Louis Lions, Paris, France
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2021年 / 62卷 / 03期
关键词：
D O I：
10.1063/5.0003524
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this article, we discuss which controllability properties of classical Hamiltonian systems are preserved after quantization. We discuss some necessary and some sufficient conditions for small-time controllability of classical systems and quantum systems using the WKB method. In particular, we investigate the conjecture that if the classical system is not small-time controllable, then the corresponding quantum system is not small-time controllable either.
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收藏
页数：14
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