东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2011, Vol. 32 ›› Issue (8): 1213-1216.DOI: -

• 论著 • 上一篇    

一种求解一维量子体系本征态的方法

公卫江;范爽;司秀丽;魏国柱;   

  1. 东北大学理学院;
  • 收稿日期:2013-06-19 修回日期:2013-06-19 发布日期:2013-04-04
  • 通讯作者: -
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(10904010)

A method for solving the eigen-states of one-dimensional quantum systems

Gong, Wei-Jiang (1); Fan, Shuang (1); Si, Xiu-Li (1); Wei, Guo-Zhu (1)   

  1. (1) School of Sciences, Northeastern University, Shenyang 110819, China
  • Received:2013-06-19 Revised:2013-06-19 Published:2013-04-04
  • Contact: Wei, G.-Z.
  • About author:-
  • Supported by:
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摘要： 为了得出一维量子体系本征态的简易求解方法,介绍了一维有限格点量子链和量子环本征能量的一种求解方法,并且借助图示的方法对这两种体系的能谱进行了详细的对比,这样可以清晰地认知一维有限格点量子链和量子环这两种结构的能谱特点.对这两种结构中格点能量存在涨落的情况进行了讨论,并且给出了量子链中表面态出现的条件,同时发现量子环中格点能量的涨落不会导致表面态的出现.

关键词: 量子链, 量子环, 本征能量, 能谱, 格点能量

Abstract: In order to derive a convenient solution to a one-dimensional quantum system, a method is presented to solve the one-dimensional quantum chain and quantum ring. The eigen-energy spectra of the two structures are compared by a geometric approach so as to further clarify the characteristics of the eigen-energy spectra. In addition, the changes in the eigen-energies are discussed in the presence of the fluctuated onsite energy, and the conditions are given under which the surface state in the quantum chain structure appears. On the other hand, no surface state appears in the quantum ring despite the fluctuation of the onsite energy.

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