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Spectral determinant on graphs with generalized boundary conditions

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Abstract:

The spectral determinant of the Schrödinger 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.

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  1. Laboratoire de Physique Théorique et Modèles Statistiques, Université Paris-Sud, bâtiment 100, 91405 Orsay Cedex, France, , , , , , FR

    J. Desbois

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  1. J. Desbois
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Received 9 July 2001

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Desbois, J. Spectral determinant on graphs with generalized boundary conditions. Eur. Phys. J. B 24, 261–266 (2001). https://doi.org/10.1007/s100510170013

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  • DOI: https://doi.org/10.1007/s100510170013

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