Darboux transformation for two-level system

被引：11
|
作者：
Bagrov, V [1 ]
Baldiotti, M [1 ]
Gitman, D [1 ]
Shamshutdinova, V [1 ]
机构：
[1] Univ Sao Paulo, Inst Fis, BR-05315970 Sao Paulo, SP, Brazil
来源：
ANNALEN DER PHYSIK | 2005年 / 14卷 / 06期
关键词：
Darboux transformation; two-level system; quantum dot;
D O I：
10.1002/andp.200410138
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We develop the Darboux procedure for the case of the two-level system. In particular, it is demonstrated that one can construct the Darboux intertwining operator that does not violate the specific structure of the equations of the two-level system, transforming only one real potential into another real potential. We apply the obtained Darboux transformation to known exact solutions of the two-level system. Thus, we find three classes of new solutions for the two-level system and the corresponding new potentials that allow such solutions. (c) 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
引用
收藏
页码：390 / 397
页数：8
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