Decisiveness of the spectral gaps of periodic Schrödinger operators on the dumbbell-like metric graph | Zendy

Hiroaki Niikuni | Zendy

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Decisiveness of the spectral gaps of periodic Schrödinger operators on the dumbbell-like metric graph

Author(s) -

Hiroaki Niikuni

Publication year - 2014

Publication title -

opuscula mathematica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.481

H-Index - 16

eISSN - 2300-6919

pISSN - 1232-9274

DOI - 10.7494/opmath.2015.35.2.199

Subject(s) - dumbbell , mathematics , graph , metric (unit) , schrödinger's cat , spectral properties , spectral gap , quantum graph , mathematical analysis , pure mathematics , combinatorics , physics , medicine , operations management , astrophysics , economics , physical therapy

In this paper, we consider periodic Schrödinger operators on the dumbbell-like metric graph, which is a periodic graph consisting of lines and rings. Let one line and two rings be in the basic period. We see the relationship between the structure of graph and the band-gap spectrum

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