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arxiv: hep-lat/9405017 · v1 · submitted 1994-05-23 · ✦ hep-lat

Adiabatic Quantum Transport: Quantization and Fluctuations

classification ✦ hep-lat
keywords adiabaticcurvaturepartquantumtransportassociatedchaoscharge
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Quillen's local index theorem is used to study the charge transport coefficients (adiabatic curvature) associated to the ground state of a Schr\"odinger operator for a charged (spinless) particle on a closed, multiply connected surface. The formula splits the adiabatic curvature into an explicit integral part and a fluctuating part which has a natural interpretation in terms of quantum chaos.

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