Spectra of magnetic chain graphs: coupling constant perturbations

We analyze spectral properties of a quantum graph in the form of a ring chain with a δ coupling in the vertices exposed to a homogeneous magnetic field perpendicular to the graph plane. We find the band spectrum in the case when the chain exhibits a translational symmetry and study the discrete spec...

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Veröffentlicht in:	Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2015-03, Vol.48 (12), p.125302-20
Hauptverfasser:	Exner, Pavel, Manko, Stepan S
Format:	Artikel
Sprache:	eng
Schlagworte:	Asymptotic properties Chains Constants coupling constant perturbation eigenvalues in gaps Graphs Joining magnetic field Mathematical analysis Perturbation methods quantum graph Spectra weak coupling
Online-Zugang:	Volltext
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