N-particles intermediate coordinate-momentum representation and its application
Xu Shi-Min (徐世民)ab, Xu Xing-Lei (徐兴磊)ab, Jiang Ji-Jian (蒋继建)ab, Li Hong-Qi (李洪奇)ab, Wang Ji-Suo (王继锁)c
a Department of Physics, Heze University, Heze 274015, China; bKey Laboratory of Quantum Communication and Calculation, Heze University, Heze 274015, China; c School of Physical Science and Information Engineering, Liaocheng University, Heze 252059, China
Abstract This paper constructs the new common eigenvectors of n intermediate coordinate-momentum operators which are complete and orthonormal. The intermediate coordinate-momentum representation of a multi-particles system is proposed and applied to a general n-mode quantum harmonic oscillators system with coordinate-momentum coupling.
Received: 17 March 2008
Revised: 11 April 2008
Accepted manuscript online:
Fund: Project supported by the Natural
Science Foundation of Heze University of Shandong Province of
China (Grant Nos XY07WL01 and XY05WL01), the University Experimental Technology
Foundation of Shandong Province of China (Grant No S04W138) and
the National Nat
Cite this article:
Xu Shi-Min (徐世民), Xu Xing-Lei (徐兴磊), Jiang Ji-Jian (蒋继建), Li Hong-Qi (李洪奇), Wang Ji-Suo (王继锁) N-particles intermediate coordinate-momentum representation and its application 2008 Chin. Phys. B 17 4369
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