Spectral Determinant on Quantum Graphs
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Eric Akkermans; Alain Comtet; Jean Desbois; Gilles Montambaux; Christophe Texier
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Article
📅
2000
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Elsevier Science
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English
⚖ 454 KB
We study the spectral determinant of the Laplacian on finite graphs characterized by their number of vertices V and bonds B. We present a path integral derivation which leads to two equivalent expressions of the spectral determinant of the Laplacian in terms of either a V\_V vertex matrix or a 2B\_2