The energy spectrum of complex periodic potentials of the Kronig-Penney type

被引：51

作者：

Jones, HF ^{[1
]}

机构：

[1] Univ London Imperial Coll Sci Technol & Med, Dept Phys, London SW7 2BZ, England

来源：

PHYSICS LETTERS A | 1999年 / 262卷 / 2-3期

关键词：

D O I：

10.1016/S0375-9601(99)00672-6

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider a complex periodic PT-symmetric potential of the Kronig-Penney type, in order to elucidate the peculiar properties found by Bender et al. for potentials of the form V = i(sin x)(2N+1), and in particular the absence of anti-periodic solutions. in this model we show explicitly why these solutions disappear as soon as V*(x) not equal V(x), and spell out the consequences for the form of the dispersion relation. (C) 1999 Published by Elsevier Science B.V. All rights reserved.

引用

页码：242 / 244

页数：3