A complex periodic QES potential and exceptional points

被引：12

作者：

Bagchi, B. ^{[1
]}

Quesne, C. ^{[2
]}

Roychoudhury, R. ^{[3
]}

机构：

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

[2] Univ Libre Brussels, B-1050 Brussels, Belgium

[3] Indian Stat Inst, Phys & Appl Math Unit, Kolkata 700035, W Bengal, India

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2008年 / 41卷 / 02期

关键词：

D O I：

10.1088/1751-8113/41/2/022001

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show that the complex PT-symmetric periodic potential V (x) = -( i xi sin 2x + N)(2), where xi is real and N is a positive integer, is quasi-exactly solvable. For odd values of N >= 3, it may lead to exceptional points depending upon the strength of the coupling parameter xi. The corresponding Schrodinger equation is also shown to go over to the Mathieu equation asymptotically. The limiting value of the exceptional points derived in our scheme is consistent with known branch-point singularities of the Mathieu equation.

引用

页数：5

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