中国物理B ›› 2008, Vol. 17 ›› Issue (12): 4369-4374.doi: 10.1088/1674-1056/17/12/006

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N-particles intermediate coordinate-momentum representation and its application

徐世民1, 徐兴磊1, 蒋继建1, 李洪奇1, 王继锁2   

  1. (1)Department of Physics, Heze University, Heze 274015, China;Key Laboratory of Quantum Communication and Calculation, Heze University, Heze 274015, China; (2)School of Physical Science and Information Engineering, Liaocheng University, Heze 252059, China
  • 收稿日期:2008-03-17 修回日期:2008-04-11 出版日期:2008-12-20 发布日期:2008-12-20
  • 基金资助:
    Project supported by the Natural Science Foundation of Heze University of Shandong Province of China (Grant Nos XY07WL01 and XY05WL01), the University Experimental Technology Foundation of Shandong Province of China (Grant No S04W138) and the National Nat

N-particles intermediate coordinate-momentum representation and its application

Xu Shi-Min (徐世民)ab, Xu Xing-Lei (徐兴磊)ab, Jiang Ji-Jian (蒋继建)ab, Li Hong-Qi (李洪奇)ab, Wang Ji-Suo (王继锁)c   

  1. a Department of Physics, Heze University, Heze 274015, China; b Key Laboratory of Quantum Communication and Calculation, Heze University, Heze 274015, China; c School of Physical Science and Information Engineering, Liaocheng University, Heze 252059, China
  • Received:2008-03-17 Revised:2008-04-11 Online:2008-12-20 Published:2008-12-20
  • Supported by:
    Project supported by the Natural Science Foundation of Heze University of Shandong Province of China (Grant Nos XY07WL01 and XY05WL01), the University Experimental Technology Foundation of Shandong Province of China (Grant No S04W138) and the National Nat

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摘要： This paper constructs the new common eigenvectors of n intermediate coordinate-momentum operators which are complete and orthonormal. The intermediate coordinate-momentum representation of a multi-particles system is proposed and applied to a general n-mode quantum harmonic oscillators system with coordinate-momentum coupling.

关键词: n-particles, intermediate coordinate-momentum representation, quantum harmonic oscillator

Abstract: This paper constructs the new common eigenvectors of n intermediate coordinate-momentum operators which are complete and orthonormal. The intermediate coordinate-momentum representation of a multi-particles system is proposed and applied to a general n-mode quantum harmonic oscillators system with coordinate-momentum coupling.

Key words: n-particles, intermediate coordinate-momentum representation, quantum harmonic oscillator

中图分类号:  (Solutions of wave equations: bound states)

  • 03.65.Ge
02.10.Ud (Linear algebra) 03.65.Fd (Algebraic methods)