Schrödinger operators on graphs: Symmetrization and Eulerian cycles | Zendy

Gustav Karreskog | Zendy; Pavel Kurasov | Zendy; I. Trygg Kupersmidt | Zendy

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Schrödinger operators on graphs: Symmetrization and Eulerian cycles

Author(s) -

Gustav Karreskog,

Pavel Kurasov,

I. 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.

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