学术
Calculation of Gaussian Perturbation on Two Harmonic Oscillators by Virtue of Entangled State Representation
HU Li-Yun[1] ZHOU Nan-Run[2] FAN Hong-Yi[1]
[1]Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China [2]Department of Electronics Information Engineering Nanchang University Nanchang 330029 China, Shanghai Jiao Tong University, Shanghai 200030, China
文章出处:
《理论物理通讯：英文版》-2007年48卷4期 -629-632页
分 类 号:
Calculation of Gaussian Perturbation on Two Harmonic Oscillators by Virtue of Entangled State Representation
Abstract:
The exact expressions of Gaussian-perturbation matrix elements in one- and two-mode Fock states are derived by virtue of the technique of integration within an ordered product of operators and the entangled state representation. It turns out that the matrix elements are just related to Gegenbauer polynomial and Hypergeometric function respectively. The 1st- and 2nd-order corrections to the energy levels and the 1st-order correction to wave functions of harmonic oscillator are deduced.[著者文摘]
Key words:
harmonic oscillator, Gaussian perturbation, IWOP technique
基金资助:
The project supported by National Natural Science Foundation of China under Grant Nos. 10475056 and 10647133 and the Research Foundation of the Education Department of Jiangxi Province under Grant No. [2007]22
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