大学物理 ›› 2011, Vol. 30 ›› Issue (3): 14-14.

• 著者文摘 • 上一篇    下一篇

三维各向异性耦合谐振子哈密顿量的对角化

冯进[1] 凌瑞良[2]   

  1. [1]常熟理工学院数学与统计学院,江苏常熟215500 [2]常熟理工学院物理与电子工程学院,江苏常熟215500
  • 出版日期:2011-03-25 发布日期:2011-03-20

Diagonalization of Hamiltonian for three-dimensional anisotropic coupled harmonic oscillator

  • Online:2011-03-25 Published:2011-03-20

摘要: 根据物理量的可测实在性,应用二次型理论,—般地解决了3个质量与3个频率均不相同、坐标和动量各自具有全耦合谐振子系统的哈密顿量的可对角化问题,并具体给出了哈密顿量对角化的标准形.

关键词: 各向异性, 耦合谐振子, 哈密顿量, 二次型, 对角化

Abstract: By means of the mensurability of physical quantity and the quadratic form theory,a general method of diagonalization of Hamiltonian for three-dimensional anisotropic coupled harmonic oscillator is proposed,and the Hamiltonian diagonal standard form is given.

Key words: anisotropic, coupled harmonic oscillator, Hamiltonian, quadratic form theory, diagonalization

中图分类号: 

  • O413.1