Transport and dynamics on open quantum graphs

Abstract

We study the classical limit of quantum mechanics on graphs by introducing a Wigner function for graphs. The classical dynamics is compared to the quantum dynamics obtained from the propagator. In particular we consider extended open graphs whose classical dynamics generate a diffusion process. The transport properties of the classical system are revealed in the scattering resonances and in the time evolution of the quantum system.

42 pages, 13 figures, submitted to PRE

References in corpus (1)

• Classical dynamics on graphs

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