New solvable singular potentials

被引：22

作者：

Dutt, R ^{[1
]}

Gangopadhyaya, A

Rasinariu, C

Sukhatme, U

机构：

[1] Visva Bharati Univ, Dept Phys, Santini Ketan 731235, W Bengal, India

[2] Loyola Univ, Dept Phys, Chicago, IL 60626 USA

[3] Columbia Coll Chicago, Dept Sci & Math, Chicago, IL 60605 USA

[4] Univ Illinois, Dept Phys MC 273, Chicago, IL 60607 USA

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2001年 / 34卷 / 19期

关键词：

D O I：

10.1088/0305-4470/34/19/311

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We obtain three new solvable, real, shape-invariant potentials starting from the harmonic oscillator, Poschl-Teller I and Poschl-Teller II potentials on the half-axis and extending their domain to the full line, while taking special care to regularize the inverse-square singularity at the origin. The regularization procedure gives rise to a delta-function behaviour at the origin. Our new systems possess underlying nonlinear potential algebras, which can also be used to determine their spectra analytically.

引用

页码：4129 / 4142

页数：14

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