Higher order supersymmetric truncated oscillators

被引：4
|
作者：
Fernandez C, David J. [1 ]
Said Morales-Salgado, Vicente [1 ]
机构：
[1] CINVESTAV, Dept Fis, AP 14-740, Mexico City 07000, DF, Mexico
来源：
ANNALS OF PHYSICS | 2018年 / 388卷
关键词：
Supersymmetric quantum mechanics; Spectral design; Truncated oscillator; EXACTLY SOLVABLE POTENTIALS; SHAPE INVARIANT POTENTIALS; QUANTUM-MECHANICS; FACTORIZATION METHOD; HARMONIC-OSCILLATOR; HAMILTONIANS; BREAKING; CHAINS;
D O I：
10.1016/j.aop.2017.10.019
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study the supersymmetric partners of the harmonic oscillator with an infinite potential barrier at the origin and obtain the conditions under which it is possible to add levels to the energy spectrum of these systems. It is found that instead of the usual rule for non-singular potentials, where the order of the transformation corresponds to the maximum number of levels which can be added, now it is the integer part of half the order of the transformation which gives the maximum number of levels to be created. (C) 2017 Elsevier Inc. All rights reserved.
引用
收藏
页码：122 / 134
页数：13
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