English

Spectral determinant on graphs with generalized boundary conditions

Mesoscale and Nanoscale Physics 2009-11-07 v1

Abstract

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

Keywords

Cite

@article{arxiv.cond-mat/0109366,
  title  = {Spectral determinant on graphs with generalized boundary conditions},
  author = {Jean Desbois},
  journal= {arXiv preprint arXiv:cond-mat/0109366},
  year   = {2009}
}

Comments

LaTeX, 11 pages

R2 v1 2026-07-22T10:27:46.874Z