Transport and dynamics on open quantum graphs

Preprint

13 July 2001

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/0107285

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.

Keywords

CLASSICAL DYNAMICS
CLASSICAL LIMIT
QUANTUM GRAPHS
OPEN QUANTUM
SCATTERING
TRANSPORT
DIFFUSION
EVOLUTION

All Related Versions

Version 1, 2001-07-13, ArXiv
Published version: Physical Review E, 65 (1), 016205.

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