2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57147We introduce a mathematical setup for charge transport in quantum pump 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.30 pages, 1 figure, updated versionMathematical Physics81U99text