An exact trace formula and zeta functions for an infinite quantum graph with a non-standard Weyl asymptotics

DOI10.1088/1751-8113/44/18/185202zbMath1215.81038arXiv1104.1364OpenAlexW2075571974MaRDI QIDQ3004536

Sebastian Endres, Frank Steiner

Publication date: 3 June 2011

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.1364

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Groups and algebras in quantum theory and relations with integrable systems (81R12)

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