TY  - JOUR
ID  - Niikuni2015
LB  - Niikuni2015
AU  - Niikuni, Hiroaki
TI  - Decisiveness of the spectral gaps of periodic Schrödinger operators on the dumbbell-like metric graph
ST  - Decisiveness of the spectral gaps of periodic Schrödinger operators on the dumbbell-like metric graph
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2015
VL  - 35
IS  - 2
SP  - 199
EP  - 234
DO  - http://dx.doi.org/10.7494/OpMath.2015.35.2.199
UR  - http://dx.doi.org/10.7494/OpMath.2015.35.2.199
AB  - 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.
KW  - quantum graph
KW  - spectral gap
KW  - band structure
KW  - Hill operator
SN  - 1232-9274
ER  -