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- W3104662716 endingPage "425203" @default.
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- W3104662716 abstract "Several general results for the spectral determinant of the Schrodinger operator on metric graphs are reviewed. Then, a simple derivation for the $zeta$-regularised spectral determinant is proposed, based on the Roth trace formula. Two types of boundary conditions are studied: functions continuous at the vertices and functions whose derivative is continuous at the vertices. The $zeta$-regularised spectral determinant of the Schrodinger operator acting on functions with the most general boundary conditions is conjectured in conclusion. The relation to the Ihara, Bass and Bartholdi formulae obtained for combinatorial graphs is also discussed." @default.
- W3104662716 created "2020-11-23" @default.
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- W3104662716 date "2010-09-30" @default.
- W3104662716 modified "2023-09-24" @default.
- W3104662716 title "ζ-regularized spectral determinants on metric graphs" @default.
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- W3104662716 doi "https://doi.org/10.1088/1751-8113/43/42/425203" @default.
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