J4 ›› 2014, Vol. 31 ›› Issue (2): 129-134.

• 量子物理 •    下一篇

量子绝热近似条件与量子几何势

易学华 陈泗凯 赖鹏华 卜寿亮 钟庆湖   

  1. 嘉应学院物理与光信息科技学院, 广东 梅州 514015
  • 收稿日期:2013-07-24 修回日期:2013-11-19 出版日期:2014-03-28 发布日期:2014-03-20
  • 通讯作者: 易学华(1965-)江西宜春人,副教授.主要从事材料模拟和量子信息研究及理论物理教学。 E-mail:yixuehua2004@163.com
  • 基金资助:
    广东省自然科学基金(S2013010012049,S2012010010976),2013年广东省高等学校教学质量与教学改革工程项目资助

Quantum adiabatic approximation condition and qnantum geometric potential

Yi Xue-Hua,Cheng Si-Kai,Lai peng-Hua,Bu Shou-liang,Zhong Qing-Hu   

  1. School of Physics and Optical Information Sciences, Jiaying University, Meizhou 514015, China
  • Received:2013-07-24 Revised:2013-11-19 Published:2014-03-28 Online:2014-03-20

摘要: 阐述了传统量子绝热定理,给出了传统的量子绝热近似条件.基于传统的量子绝热近似条件存在不足,采用微扰论思想,通过 绝热变换不变,给出并讨论了新的绝热理论以及新的绝热近似条件.最后对新的绝热条件中所包含量子几何势的几何性进行了较为深入的分析和讨论.

关键词: 量子物理, 量子绝热定理, 绝热近似条件, 绝热U(1)不变基, 量子几何势

Abstract: The quantum traditional adiabatic theorem was present and traditional approximation conditions were given. Based on existence of insufficence about quntum traditional adiabatic approximation condition ,the new adiabatic theory and new adiabatic approximation condition were proposed and discussed by means of perturbative approach and a -invariant expasion. And finally,we make a deep analysis and discussion on the properties of quantum geometric potential contained in the new adiabatic condition..

Key words: quantum physics, quantum adiabatic theorem, adiabatic approximation conditions, invariant adiabatic orbit, quantum geometric potential

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