| 利用二次型求解n模耦合谐振子能量本征值精确解 |
| |
| 引用本文： | 王秀利,张运海.利用二次型求解n模耦合谐振子能量本征值精确解[J].大学物理,2009,28(6). |
| |
| 作者姓名： | 王秀利 张运海 |
| |
| 作者单位： | 菏泽学院,物理系,山东,菏泽,274015 |
| |
| 基金项目： | 菏泽学院自然科学基金 |
| |
| 摘 要： | 利用二次型理论构造一个幺正矩阵进行坐标和动量变换,把n模动量耦合谐振子体系的哈密顿量化为标准的二次型,进而得到n模动量耦合谐振子体系的能量本征值.对n模坐标耦合的情况也进行了类似求解,并提供了解决该类问题的一般数学方法.
|
| 关 键 词： | 二次型 n模耦合谐振子 幺正矩阵 能量本征值 |
Solving energy eigenvalue of n module coupling harmonic oscillators by virtue of quadratic form |
| |
| WANG Xiu-li,ZHANG Yun-hai.Solving energy eigenvalue of n module coupling harmonic oscillators by virtue of quadratic form[J].College Physics,2009,28(6). |
| |
| Authors: | WANG Xiu-li ZHANG Yun-hai |
| |
| Institution: | Department of Physics;Heze University;Heze;Shandong 274015;China |
| |
| Abstract: | A unitary matrix is constructed by virtue of quadratic form theory for coordinates and momentums transformation.The Hamiltonian of the n-D coupling harmonic oscillators is diagonalized by means of the transformation.The exact solution of energy spectrum of n-D coupling quantum harmonic oscillator is given.It also offers a general mathematic method solving problems of this kind. |
| |
| Keywords: | quadratic form n-D coupling harmonic oscillator unitary matrix energy eigenvalue |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
