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.

引用

页数：14

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