A PT-invariant potential with complex QES eigenvalues

被引：147

作者：

Khare, A

Mandal, BP

机构：

[1] SN Bose Natl Ctr Basic Sci, Kolkata 700091, W Bengal, India

[2] Inst Phys, Bhubaneswar 751005, Orissa, India

来源：

PHYSICS LETTERS A | 2000年 / 272卷 / 1-2期

关键词：

D O I：

10.1016/S0375-9601(00)00409-6

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show that the quasi-exactly solvable eigenvalues of the Schrodinger equation for the PT-invariant potential V(x)= -(zeta cosh2x- iM)(2) are complex conjugate pairs in case the parameter M is an even integer while they are real in case iM is an odd integer. We also show that whereas the PT symmetry is spontaneously broken in the former case, it is unbroken in the latter case. (C) 2000 Elsevier Science B.V. All rights reserved.

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页码：53 / 56

页数：4

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