Spectral determinants and zeta functions of Schr\'odinger operators on metric graphs

Autor:	Harrison, J. M., Kirsten, K., Texier, C.
Rok vydání:	2011
Předmět:	Mathematical Physics High Energy Physics - Theory 34B45 81Q10 81Q35
Druh dokumentu:	Working Paper
DOI:	10.1088/1751-8113/45/12/125206
Popis:	A derivation of the spectral determinant of the Schr\"odinger operator on a metric graph is presented where the local matching conditions at the vertices are of the general form classified according to the scheme of Kostrykin and Schrader. To formulate the spectral determinant we first derive the spectral zeta function of the Schr\"odinger operator using an appropriate secular equation. The result obtained for the spectral determinant is along the lines of the recent conjecture. Comment: 16 pages, 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1111.0643 Zobrazit plný text záznamu View this record from Arxiv