Transport and dynamics on open quantum graphs

Details Transport and dynamics on open quantum graphs Transport and dynamics on open quantum graphs

2001-07-13

arxiv.org/abs/cond-mat/0107285v1

Physics

Condensed Matter

42 pages, 13 figures, submitted to PRE

Scientific paper

10.1103/PhysRevE.65.016205

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.

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