Open AccessSchrödinger operators on graphs: Symmetrization and Eulerian cycles
Author(s) -
Pavel Kurasov,
Gustav Karreskog,
Isak Trygg Kupersmidt
Publication year - 2015
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/proc12784
Subject(s) - symmetrization , eulerian path , eigenvalues and eigenvectors , mathematics , vertex (graph theory) , schrödinger's cat , quantum graph , operator (biology) , graph , metric (unit) , ground state , mathematical analysis , pure mathematics , mathematical physics , physics , combinatorics , quantum mechanics , lagrangian , biochemistry , chemistry , operations management , repressor , transcription factor , economics , gene
Spectral properties of the Schrödinger operator on a finite compact metric graph with delta-type vertex conditions are discussed. Explicit estimates for the lowest eigenvalue (ground state) are obtained using two different methods: Eulerian cycle and symmetrization techniques.