$\zeta$-regularised spectral determinants on metric graphs
Christophe Texier 1, 2 Journal of Physics A Mathematical and Theoretical 43 (2010) 425203 Several general results for the spectral determinant of the Schrödinger 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 […]
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