Exact Solutions and Geometric Phases of Dipole Oscillator in Rapidly Varying Electric Field
Abstract
The present letter obtains the exact solution and geometric phase of the time-dependent Schr\"odinger equation governing the dipole oscillator in the exterior electric field, by making use of the Lewis-Riesenfeld invariant theory and the invariant-related unitary transformation formulation. It is shown that the geometric phase presents the global property of the time evolution of the dipole oscillator in time-dependent environments.
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