大学物理 ›› 2009, Vol. 28 ›› Issue (4): 11-11.

• 著者文摘 • 上一篇    下一篇

双模积分型投影算符及其应用

蒋继建 徐世民 徐兴磊   

  1. 菏泽学院物理系,山东菏泽274015
  • 出版日期:2009-04-20 发布日期:2009-04-20

Double-mode integral form projection operator and its application

  • Online:2009-04-20 Published:2009-04-20

摘要: 引进了幺正的双模积分型投影算符,利用有序算符内的积分(IWOP)技术分析了其变换特性;然后利用该积分型投影算符对角化了双模耦合量子谐振子体系的哈密顿量,从而求出了体系的本征能级与本征波函数;最后讨论了特例情形.

关键词: 积分型投影算符, IWOP技术, 运动耦合

Abstract: A double-mode integral form projection unitary operator is introduced. Using the technique of integration within an ordered product (IWOP) of operators, the transformation character of the integral form projection operator is studied. The Hamihonian of double-mode quantum harmonic oscillator system with kinetic coupling is diagonalized by virtue of the integral form projection operator, and then the eigenenergy and eigenfunction of the system are accurately solved. Finally the particular case is discussed.

Key words: integral form projection operator, IWOP technique, kinetic coupling

中图分类号: 

  • O413