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Spectral determinant on graphs with generalized boundary conditions
Authors:J. Desbois
Affiliation:(1) Laboratoire de Physique Théorique et Modèles Statistiques, Université Paris-Sud, batiment 100, 91405 Orsay Cedex, France, FR
Abstract:The spectral determinant of the Schr?dinger operator ( - Δ + V(x)) 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. Received 9 July 2001
Keywords:PACS. 02.70.-c Computational techniques –   03.65.-w Quantum mechanics
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