Darboux transformations for quasi-exactly solvable Hamiltonians

被引：6
|
作者：
Debergh, N [1 ]
Van den Bossche, B
Samsonov, BF
机构：
[1] Univ Liege, Inst Phys B5, B-4000 Cointe Ougree, Belgium
[2] Tomsk VV Kuibyshev State Univ, Dept Quantum Field Theory, Tomsk 634050, Russia
来源：
INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2002年 / 17卷 / 11期
基金：
俄罗斯基础研究基金会;
关键词：
Darboux transformation; QES equations; sextic radial oscillator;
D O I：
10.1142/S0217751X02009953
中图分类号：
O57 [原子核物理学、高能物理学];
学科分类号：
070202 ;
摘要：
We construct new quasi-exactly solvable one-dimensional potentials through Darboux transformations. Three directions are investigated: Reducible and two types of irreducible second-order transformations. The irreducible transformations of the first type give singular intermediate potentials and the ones of the second type give complex-valued intermediate potentials while final potentials are meaningful in all cases. These developments are illustrated on the so-called radial sextic oscillator.
引用
收藏
页码：1577 / 1587
页数：11
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