Gaps in the spectrum of a periodic quantum graph with periodically distributed delta '-type interactions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F15%3A00445285" target="_blank" >RIV/61389005:_____/15:00445285 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1088/1751-8113/48/25/255201" target="_blank" >http://dx.doi.org/10.1088/1751-8113/48/25/255201</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1751-8113/48/25/255201" target="_blank" >10.1088/1751-8113/48/25/255201</a>

Result language
angličtina
Original language name
Gaps in the spectrum of a periodic quantum graph with periodically distributed delta '-type interactions
Original language description
We consider a family of quantum graphs {(Gamma, A(epsilon))}(epsilon>0), where Gamma is a Z(n)-periodic metric graph and the periodic Hamiltonian A(epsilon) is defined by the operation -epsilon(-1)d(2)/dx(2) on the edges of Gamma and either delta'-type conditions or the Kirchhoff conditions at its vertices. Here epsilon > 0 is a small parameter. We show that the spectrum of A(epsilon) has at least m gaps as epsilon --> 0 (m is an element of N is a predefined number), moreover the location of these gapscan be nicely controlled via a suitable choice of the geometry of Gamma and of coupling constants involved in delta'- type conditions.
Czech name
—
Czech description
—

Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
—

Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)