Comment on 'Supersymmetry, PT-symmetry and spectral bifurcation'

被引：5

作者：

Bagchi, B. ^{[1
]}

Quesne, C. ^{[2
]}

机构：

[1] Univ Calcutta, Dept Appl Math, Kolkata 700009, India

[2] Univ Libre Brussels, Phys Nucl Theor & Phys Math, B-1050 Brussels, Belgium

来源：

ANNALS OF PHYSICS | 2011年 / 326卷 / 02期

关键词：

PT-symmetry; sl(2) algebra; NON-HERMITIAN HAMILTONIANS; QUANTUM-MECHANICS; REAL EIGENVALUES;

D O I：

10.1016/j.aop.2010.10.007

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We demonstrate that the recent paper by Abhinav and Panigrahi entitled 'Supersymmetry, PT-symmetry and spectral bifurcation' [K. Abhinav, P.K. Panigrahi, Ann. Phys. 325 (2010) 1198], which considers two different types of superpotentials for the PT-symmetric complexified Scarf II potential, fails to take into account the invariance under the exchange of its coupling parameters. As a result, they miss the important point that for unbroken PT-symmetry this potential indeed has two series of real energy eigen-values, to which one can associate two different superpotentials. This fact was first pointed out by the present authors during the study of complex potentials having a complex sl(2) potential algebra. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：534 / 537

页数：4

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