Evolution of Arbitrary States under Fock-Darwin Hamiltonian and a Time-Dependent Electric Field  

作　　者：XU Xiao-Fei YANG Tao ZHAI Zhi-Yuan PAN Xiao-Yin 徐晓飞;杨涛;翟智远;潘孝胤(Department of Physics,Ningbo University,Ningbo 315211,China)

机构地区：[1]Department of Physics,Ningbo University,Ningbo 315211,China

出　　处：《Communications in Theoretical Physics》2012年第1期123-126,共4页理论物理通讯（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant No. 10805029;Zhejiang Natural Science Foundation underGrant No. R6090717;the K.C. Wong Magna Foundation of Ningbo University

摘　　要：The method of path integral is employed to calculate the time evolution of the eigenstates of a charged particle under the Fock-Darwin(FD) Hamiltonian subjected to a time-dependent electric field in the plane of the system.An exact analytical expression is established for the evolution of the eigenstates.This result then provides a general solution to the time-dependent Schro¨dinger equation.

关 键 词：harmonic-oscillator path integral PROPAGATOR 

分 类 号：O431.2[机械工程—光学工程]