PT-symmetry in one-dimensional quantum periodic potentials

被引：26
|
作者：
Cerveró, JM [1 ]
机构：
[1] Univ Salamanca, Fac Ciencias, E-37008 Salamanca, Spain
来源：
PHYSICS LETTERS A | 2003年 / 317卷 / 1-2期
关键词：
PT-symmetry; band theory in periodic potentials;
D O I：
10.1016/j.physleta.2003.08.024
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A complete band structure is shown to exist for one-dimensional periodic non-Hermitian potentials exhibiting PT-symmetry. The full band spectrum is exactly given and some of its properties discussed, specially those concerning the role of the imaginary parameters of the couplings. Infinite periodic arrays constructed with finite chains each one made of N different ultralocal couplings are used as models of this one-dimensional complex quantum wire. (C) 2003 Elsevier B.V. All rights reserved.
引用
收藏
页码：26 / 31
页数：6
相关论文
共 50 条
  • [1] The band spectrum of periodic potentials with PT-symmetry
    Cerveró, JM
    Rodríguez, A
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2004, 37 (43): : 10167 - 10177
  • [2] Necessity of PT symmetry for soliton families in one-dimensional complex potentials
    Yang, Jianke
    PHYSICS LETTERS A, 2014, 378 (04) : 367 - 373
  • [3] PT-symmetry breaking for the scattering problem in a one-dimensional non-Hermitian lattice model
    Zhu, Baogang
    Lu, Rong
    Chen, Shu
    PHYSICAL REVIEW A, 2016, 93 (03)
  • [4] PT-symmetry and Non-Central Potentials
    Levai, G.
    ACTA POLYTECHNICA, 2007, 47 (2-3) : 40 - 43
  • [5] PT-symmetry in conventional quantum physics
    Ahmed, Zafar
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (32): : 9965 - 9974
  • [6] SCATTERING BY LOCALLY PERIODIC ONE-DIMENSIONAL POTENTIALS
    ROZMAN, MG
    REINEKER, P
    TEHVER, R
    PHYSICS LETTERS A, 1994, 187 (01) : 127 - 131
  • [7] Topological bands in one-dimensional periodic potentials
    Zheng, Yi
    Yang, Shi-Jie
    Physica B: Condensed Matter, 2014, 454 : 93 - 97
  • [8] Topological bands in one-dimensional periodic potentials
    Zheng, Yi
    Yang, Shi-Jie
    PHYSICA B-CONDENSED MATTER, 2014, 454 : 93 - 97
  • [9] SIMPLE RESULTS FOR ONE-DIMENSIONAL PERIODIC POTENTIALS
    PACHECO, M
    CLARO, F
    PHYSICA STATUS SOLIDI B-BASIC RESEARCH, 1982, 114 (02): : 399 - 403
  • [10] PT-symmetry rules applied to a class of real potentials
    Garidi, S.
    Lombard, R. J.
    Mezhoud, R.
    PHYSICA SCRIPTA, 2024, 99 (03)
12345