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Phase-Space Approach to Berry Phases

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Open Systems & Information Dynamics

Abstract

We propose a new formula for the adiabatic Berry phase which is based on phase-space formulation of quantum mechanics.This approach sheds a new light onto the correspon-dence between classical and quantum adiabatic phases – both phases are related with the av-eraging procedure:Hannay angle with averaging over the classical torus and Berry phase with averaging over the entire classical phase space with respect to the corresponding Wigner function.

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Authors and Affiliations

  1. Institute of Physics, Nicolaus Copernicus University, ul. Grudziadzka 5/7, 87-100, Toruń, Poland

    Dariusz Chruściński

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  1. Dariusz Chruściński
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Chruściński, D. Phase-Space Approach to Berry Phases. Open Syst Inf Dyn 13, 67–74 (2006). https://doi.org/10.1007/s11080-006-7268-3

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  • DOI: https://doi.org/10.1007/s11080-006-7268-3

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