Factorization method and new potentials from the inverted oscillator

被引：38

作者：

Bermudez, David ^{[1
]}

Fernandez C, David J. ^{[1
]}

机构：

[1] CINVESTAV, Dept Fis, Mexico City 07000, DF, Mexico

来源：

ANNALS OF PHYSICS | 2013年 / 333卷

关键词：

Supersymmetric quantum mechanics; Darboux transformations; Harmonic oscillator; Inverted oscillator; SUPERSYMMETRIC QUANTUM-MECHANICS; DERIVATIVE SUPERSYMMETRY; SUSY; ALGORITHM;

D O I：

10.1016/j.aop.2013.02.015

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this article we will apply the first- and second-order supersymmetric quantum mechanics to obtain new exactly-solvable real potentials departing from the inverted oscillator potential. This system has some special properties; in particular, only very specific second-order transformations produce non-singular real potentials. It will be shown that these transformations turn out to be the so-called complex ones. Moreover, we will study the factorization method applied to the inverted oscillator and the algebraic structure of the new Hamiltonians. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：290 / 306

页数：17

共 46 条

[1]

Abramowitz M., 1972, Handbook on Mathematical Functions with Formulas, Graphs, and Mathematical Tables

[2] Nonlinear supersymmetric quantum mechanics: concepts and realizations [J].