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

Jian Qi Shen
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Abstract

The present letter obtains the exact solution and geometric phase of the time-dependent Schrödinger 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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Jian Qi Shen. 2003-01-18. Exact Solutions and Geometric Phases of Dipole Oscillator in Rapidly Varying Electric Field. https://arxiv.org/abs/math-ph/0301026

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