%0 Journal Article
%T Adiabatic Quantum Transport: Quantization and Fluctuations
%A J. E. Avron
%A R. Seiler
%A P. Zograf
%J Physics
%D 1994
%I arXiv
%R 10.1103/PhysRevLett.73.3255
%X 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.
%U http://arxiv.org/abs/hep-lat/9405017v1