J.E. Avron, A. Elgart, G.M. Graf, L. Sadun, K. Schnee
Adiabatic charge pumping in open quantum systems
(83K, LaTeX with 1 EPS figure)

ABSTRACT.  We introduce a mathematical setup for charge transport in 
quantum pumps connected to a number of external leads. It is proved that 
under rather general assumption on the Hamiltonian describing the 
system, in the 
adiabatic limit the current through the pump is given by a formula of 
Buttiker, Pretre, and Thomas, relating it to the frozen 
S-matrix and its time derivative.