Eur. Phys. J. B 24, 261-266 (2001)
https://doi.org/10.1007/s100510170013
https://doi.org/10.1007/s100510170013
Spectral determinant on graphs with generalized boundary conditions
Laboratoire de Physique Théorique et Modèles Statistiques,
Université Paris-Sud, bâtiment 100, 91405 Orsay Cedex, France
Received:
9
July
2001
Published online: 15 November 2001
The spectral determinant of the Schrödinger operator
(
) on a graph is
computed for general boundary conditions. (Δ is the
Laplacian and V(x) is some potential defined on the graph).
Applications to restricted random walks on graphs are discussed.
PACS: 02.70.-c – Computational techniques / 03.65.-w – Quantum mechanics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2001
