Properties of Geometric Potential in the Invariant Adiabatic Theory

2007/06/03 by Mei-sheng Zhao, Meisheng Zhao, Zhao, Mei-sheng +7 · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #quant-ph

paper · pdf · doi:10.48550/arxiv.0706.0320

4 pages, 6 figures

openalex publication_date 2007/06/03 · arxiv created 2007/06/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We concentrate on the geometric potential in the invariant perturbation theory of quantum adiabatic process which is presented in our recent papers. It is found out to be related to the geodesic curvature of the spherical curve in 2-dimension quantum systems. We also show that the geometric potential may affect adiabatic approximation remarkably.

Cited by

• Invariant Perturbation Theory of Adiabatic Process

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