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Quantum Scattering Theoretical Description of Thermodynamical Transport Phenomena

1997/05/09 by Tooru Taniguchi
Physics and Astronomy · #cond-mat

paper · pdf

published as Physics Letters A, 245 (1998) p279-p284

arxiv created 1997/05/09 · arxiv updated 2009/11/30

Abstract

We give a method of describing thermodynamical transport phenomena, based on a quantum scattering theoretical approach. We consider a quantum system of particles connected to thermodynamical reservoirs by leads. The effects of the reservoirs are imposed as an asymptotic condition at the end of the leads. We derive an expression for a current of a conserved quantity, which is independent of the details of the Hamiltonian operator. The Landauer formula and its generalizations are derived from this method.

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