Exact Solutions and Geometric Phases of Dipole Oscillator in Rapidly Varying Electric Field

Details Exact Solutions and Geometric Phases of Dipole Oscillator in Rapidly Varying Electric Field Exact Solutions and Geometric Phases of Dipole Oscillator in Rapidly Varying Electric Field

2003-01-18

arxiv.org/abs/math-ph/0301026v1

Physics

Mathematical Physics

5 pages, Latex

Scientific paper

The present letter obtains the exact solution and geometric phase of the time-dependent Schr\"{o}dinger 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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