双模坐标耦合谐振子体系的量子力学处理  

Solving Dynamic Problems of Double Coordinate Coupling Harmonic Oscillators With Quantum Mechanics

作　　者：张运海[1] 徐兴磊[1] 

机构地区：[1]菏泽学院物理系,量子信息与计算重点实验室,山东菏泽274015

出　　处：《南京师大学报（自然科学版）》2010年第1期48-51,共4页Journal of Nanjing Normal University(Natural Science Edition)

基　　金：山东省自然科学基金(Y2008A16);山东省高等学校实验技术(S04W138);菏泽学院自然科学基金(XY07WL01)

摘　　要：为了精确求解双模坐标耦合谐振子体系的动力学问题,利用动量本征矢在Fock表象中的表示构造不对称积分,找到了与经典正则变换对应的量子幺正算符.借助于动量表象的完备性条件,证明了该算符的幺正性及其变换特性.应用此量子幺正算符,精确求解了双模坐标耦合谐振子体系的动力学问题.In order to solve exactly the dynamic problems of the double coordinate coupling harmonic oscillators, the quantum unitary operator corresponding with classical canonical transformation is derived using the momentum eigenvector in Fock representation by constructing asymmetric integration. The unitarity and transformation properties of the operator are analyzed by virtue of completeness of momentum representation. The dynamic problems of the double coordinate coupling harmonic oscillators are solved exactly by using the operator.

关 键 词：正则变换 动量本征矢 幺正算符 双模坐标耦合谐振子 

分 类 号：O413.1[理学—理论物理]