Mathematical Challenges of Quantum Transport in Nano-Optoelectronic Systems - Abstract

Cornean, Horia

On the Keldysh formalism applied to mesoscopic quantum systems

This talk is intended as a “vulgarisation” of the Keldysh formalism towards mathematicians. We show in particular that the Keldysh contour-ordering is not necessary when calculating transient or steady-state currents through noninteracting mesoscopic systems. The Langreth rules can also be derived using elementary operations, only.