Spectral determinant on graphs with generalized boundary conditions

Details Spectral determinant on graphs with generalized boundary conditions Spectral determinant on graphs with generalized boundary conditions

2001-09-20

arxiv.org/abs/cond-mat/0109366v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

LaTeX, 11 pages

Scientific paper

10.1007/s100510170013

The spectral determinant of the Schr\"odinger operator ($ - \Delta + V(x) $)
on a graph is computed for general boundary conditions. ($\Delta$ is the
Laplacian and $V(x)$ is some potential defined on the graph). Applications to
restricted random walks on graphs are discussed.

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