The Harmonic Potential Theorem for a Quantum System with Time-Dependent Effective Mass

被引：2
|
作者：
Lai Meng-Yun [1 ]
Xiao Duan-Liang [1 ]
Pan Xiao-Yin [1 ]
机构：
[1] Ningbo Univ, Dept Phys, Ningbo 315211, Zhejiang, Peoples R China
来源：
CHINESE PHYSICS LETTERS | 2015年 / 32卷 / 11期
基金：
中国国家自然科学基金;
关键词：
HEISENBERG-PICTURE APPROACH; DENSITY-FUNCTIONAL THEORY; FEYNMAN PROPAGATOR; COHERENT STATES; ELECTROMAGNETIC-FIELD; SINGULAR PERTURBATION; CHARGED-PARTICLE; MAGNETIC-FIELD; OSCILLATOR; MOTION;
D O I：
10.1088/0256-307X/32/11/110301
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We investigate the many-body wave function of a quantum system with time-dependent effective mass, confined by a harmonic potential with time-dependent frequency, and perturbed by a time-dependent spatially homogeneous electric field. It is found that the wave function is comprised of a phase factor times the solution to the unperturbed time-dependent Schrodinger equation with the latter being translated by a time-dependent value that satisfies the classical driven equation of motion. The wave function reduces to that of the harmonic potential theorem wave function when both the effective mass and frequency are static. An example of application is also given.
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页数：4
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