Evolution of Arbitrary States under Fock—Darwin Hamiltonian and a Time-Dependent Electric Field
Xiao-Fei Xu, Tao Yang, Zhi-Yuan Zhai, Xiao‐Yin Pan · Communications in Theoretical Physics · 2012
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 Schrödinger equation.