N-mode linear-composite coordinate representation and its applications

Xu SM; Xu XL; Jiang JJ; Li HQ

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N-mode linear-composite coordinate representation and its applications

机译：N模式线性复合坐标表示及其应用

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摘要

Using the technique of integration within an ordered product of operators, a unitary transformation matrix and N linear-composite coordinate operators are constructed for an N-particle system, and the complete and orthonormal common eigenvectors of the N linear-composite coordinate operators are examined. The N-mode linear-composite coordinate representation is proposed, and its application to a general N-mode coupling quantum harmonic system is studied for solving some dynamic problems.

机译：利用算子有序积内的积分技术，为一个N粒子系统构造了一个transformation变换矩阵和N个线性复合坐标算子，并研究了N个线性复合坐标算子的完整和正交公共特征向量。提出了N模式线性复合坐标表示方法，并研究了其在一般N模式耦合量子谐波系统中的应用，以解决一些动力学问题。

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《Physica Scripta: An International Journal for Experimental and Theoretical Physics》 |2008年第1期|共4页
作者
Xu SM; Xu XL; Jiang JJ; Li HQ;
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正文语种 eng
中图分类物理学;
关键词
QUANTUM OPTICS; OPERATOR; VIRTUE; OSCILLATORS; MOMENTUM; STATE;

机译：量子光学;操作员;虚拟;振荡器;动量;状态;

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1. N-mode linear-composite coordinate representation and its applications [J] . Xu SM, Xu XL, Jiang JJ, Physica Scripta: An International Journal for Experimental and Theoretical Physics . 2008,第1期

机译：N模式线性复合坐标表示及其应用
2. N-Mode Hamiltonians with Coordinate-Momentum Coupling Terms [J] . Ren G, Song TQ International Journal of Theoretical Physics: A Journal of Original Research and Reviews in Theoretical Physics and Related Mathematics, Dedicated to the Unification of Physics . 2009,第7期

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3. Coordinate-Dependent N-Mode Squeezing Transformations [J] . REN Gang, SONG Tong-Qiang 理论物理通讯：英文版 . 2008,第004期

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N-mode linear-composite coordinate representation and its applications

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