Intertwining relations of non-stationary Schrodinger operators

被引：29
|
作者：
Cannata, F
Ioffe, M
Junker, G
Nishnianidze, D
机构：
[1] Univ Bologna, Dipartmento Fis, I-40126 Bologna, Italy
[2] St Petersburg State Univ, Dept Theoret Phys, St Petersburg 198904, Russia
[3] Univ Erlangen Nurnberg, Inst Theoret Phys, D-91058 Erlangen, Germany
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1999年 / 32卷 / 19期
关键词：
D O I：
10.1088/0305-4470/32/19/309
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
General first- and higher-order intertwining relations between non-stationary one-dimensional Schrodinger operators are introduced. For the first-order case it is shown that the intertwining relations imply some hidden symmetry which in turn results in an R-separation of variables. The Fokker-Planck and diffusion equations are briefly considered. Second-order intertwining operators are also discussed within a general approach. However, due to its complicated structure only particular solutions are given in some detail.
引用
收藏
页码：3583 / 3598
页数：16
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