Open AccessDecisiveness of the spectral gaps of periodic Schrödinger operators on the dumbbell-like metric graph
Author(s) -
Hiroaki Niikuni
Publication year - 2015
Publication title -
rocznik akademii górniczo-hutniczej im. stanisława staszica. opuscula mathematica/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