Non-integrability of the semiclassical Jaynes-Cummings models without the rotating-wave approximation

被引：8
|
作者：
Maciejewski, Andrzej [1 ]
Szuminski, Wojciech [2 ]
机构：
[1] Univ Zielona Gora, Janusz Gil Inst Astron, Lubuska 2, PL-65265 Zielona Gora, Poland
[2] Univ Zielona Gora, Inst Phys, Licealna 9, PL-65407 Zielona Gora, Poland
来源：
APPLIED MATHEMATICS LETTERS | 2018年 / 82卷
关键词：
Semi-classical Jaynes-Cummings models; Poincare cross sections; Non-integrability; Variational equations; Differential Galois group;
D O I：
10.1016/j.aml.2018.02.009
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Two versions of the semiclassical Jaynes-Cummings model without the rotating wave approximation are investigated. It is shown that for a non-zero value of the coupling constant the version introduced by Belobrov, Zaslaysky, and Tartakovsky is Hamiltonian with respect to a certain degenerated Poisson bracket. Moreover, it is proved that both models are not integrable. (C) 2018 Elsevier Ltd. All rights reserved.
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页码：132 / 139
页数：8
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