Dependence of the spectrum of a quantum graph on vertex conditions and edge lengths

Abstract

Abstract. We study the dependence of the quantum graph Hamiltonian, its resolvent, and its spectrum on the vertex conditions and graph edge lengths. In particular, several results on the interlacing (bracketing) of the spectra of graphs with different vertex conditions are obtained and their applications are discussed. 1.

Identifiers

DOI

10.1090/pspum/084/1352

Citations and references