吉林大学学报(理学版)

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对称量子理论的计算

杨丽丽, 陈峥立,  孙海鹏   

  1. 陕西师范大学 数学与信息科学学院, 西安 710062
  • 收稿日期:2016-04-21 出版日期:2017-05-26 发布日期:2017-05-31
  • 通讯作者: 陈峥立 E-mail:czl@snnu.edu.cn

Calculation on PTSymmetric Quantum Theory

YANG Lili, CHEN Zhengli, SUN Haipeng   

  1. School of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, China
  • Received:2016-04-21 Online:2017-05-26 Published:2017-05-31
  • Contact: CHEN Zhengli E-mail:czl@snnu.edu.cn

摘要: 根据[WTHX]PT对称量子系统中PT内积和原内积之间的关系, 给出PT对称量子理论中纯态的刻画以及PT对称量子系统中混合态的一个刻画, 研究PT对称量子系统中态的演化, 并给出其为酉演化的充要条件.

关键词: 演化, 纯态, 混合态, PT对称, PT框架

Abstract: Firstly, we gave characterization of the pure state in the PTsymmetric quantum theory based on the relationship between the PTinner product and the original inner product of PTsymmetric quantum system. Secondly, we gave the characterization of the mixed state in the PTsymmetric quantum system. Finally, we studied the evolution of state in PTsymmetric quantum system, and gave a necessary and sufficient condition for the unitary evolution.

Key words: PTframe, evolution, mixed state, PTsymmetry, pure state

中图分类号: 

  • O413