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Journal of Mathematical Physics / Volume 22 / Issue 1

J. Math. Phys. 22, 96 (1981); http://dx.doi.org/10.1063/1.524729 (6 pages)

Random walks and quantum currents in networks

G. A. Ringwood

Department of Physics, University of Antwerpen (U.I.A.), Belgium

The free electron network model of a metal is reformulated in terms of restricted random walks; this allows direct calculation of the propagator. The reformulation gives more freedom in the choice of boundary conditions and is suitable for the investigation of topologically disordered networks.

KEYWORDS and PACS

Keywords

PROPAGATOR, BOUNDARY CONDITIONS, RANDOM WALK, FREE−ELECTRON APPROXIMATION, QUANTUM MECHANICS, NETWORK ANALYSIS, GREEN FUNCTION, CRYSTAL MODELS, HAMILTONIANS

PACS

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.524729

PUBLICATION DATA

ISSN

0022-2488 (print)  
1089-7658 (online)

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