摘要
利用二次型理论构造一个幺正矩阵进行坐标变换,将质量和频率均不相同的双模双耦合谐振子体系的哈密顿量对角化,得出一般双模双耦合谐振子体系能谱的精确解,同时提供了一种解决该类问题的一般数学方法.
Structuring a unitary matrix for transformation of coordinates by means of quadratic form theory,we transform Hamiltonian of the 2D double coupling harmonic oscillator with both different mass and different frequency into diagonalmatrix,attain the accurate answer of the energy eigenvalue of the 2D double coupling harmonic oscillator and at the same time offer a general mathematic method for solving this kind of problems.
出处
《聊城大学学报（自然科学版）》
2006年第3期42-44,共3页
Journal of Liaocheng University:Natural Science Edition
基金
菏泽学院科学研究基金资助项目(XY05WL01)
关键词
二次型
双模双耦合谐振子
幺正矩阵
坐标变换
哈密顿量
能谱
quadratic form theory, 2D double coupling harmonic oscillator, unitary matrix, transformation of coordinates ,Hamiltonian,energy eigenvalue
