The Harmonic Potential Theorem for a Quantum System with Time-Dependent Effective Mass
LAI Meng-Yun, XIAO Duan-Liang, PAN Xiao-Yin**
Department of Physics, Ningbo University, Ningbo 315211
Abstract ：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 Schrödinger 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.
收稿日期: 2015-08-17
出版日期: 2015-12-01
:
03.65.Ge
(Solutions of wave equations: bound states)
03.65.Fd
(Algebraic methods)
05.30.-d
(Quantum statistical mechanics)
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2015, Vol. 32 
