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PT 对称的非厄米体系的能谱性质

  • 占国慧 ,
  • 于殿强 ,
  • 王郅臻 ,
  • 张莲莲 ,
  • 公卫江
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  • 东北大学理学院物理系,辽宁沈阳110819
占国慧( 1996—) ,男,江西九江人,东北大学理学院2014 级本科生.

收稿日期: 2017-03-21

  修回日期: 2017-08-09

  网络出版日期: 2018-03-20

The properties of energy spectrum in a non-Hermitian system with PT-symmetry

  • ZHAN Guo-hui ,
  • YU Dian-qiang ,
  • WANG Zhi-zhen ,
  • ZHANG Lian-lian ,
  • GONG Wei-jiang
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  • Department of Physics,College of Sciences,Northeastern University,Shenyang,Liaoning 110819,China

Received date: 2017-03-21

  Revised date: 2017-08-09

  Online published: 2018-03-20

摘要

选取一维量子体系,讨论了体系两端PT 对称的复势能对其能谱的影响,发现该势能在改变体系能谱方面有特殊作 用.并且,如果势能强度足够大,它能够引起能谱的简并.利用微扰理论计算了势能较弱时的体系能谱,以便于理解PT 对称的 非厄米体系的能谱性质.相信本文有助于加深对量子力学中基础和前沿知识的融合与理解.

本文引用格式

占国慧 , 于殿强 , 王郅臻 , 张莲莲 , 公卫江 . PT 对称的非厄米体系的能谱性质[J]. 大学物理, 2018 , 37(3) : 78 -81 . DOI: 10.16854 /j.cnki.1000-0712.170155

Abstract

We study the effect of the PT-symmetric complex potentials on the energy spectrum of one-dimensional non-Hermitian systems.By solving the energy spectrum,we find that potentials can give rise to degeneracy of energy,when the potentials are high enough.For the case of weak potential, the perturbation theory is used to analyze the energy spectrum.It is believed that the results of this work are helpful in understanding the properties of energy pectrum in PT-symmetric non-Hermitian systems.
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