A family of quantum graph vertex couplings interpolating between different symmetries. (7th June 2018)

• Record Type: Journal Article
• Authors: Exner, Pavel; Turek, Ondřej; Tater, Miloš
• Is Part Of: Journal of physics. Volume 51:Number 28(2018)
• Publication Date: 2018-06-07
• Subjects: quantum graphs -- vertex coupling -- time reversal noninvariance -- square lattice -- interpolation -- rotational symmetry -- circulant matrix; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8121/aac651
• Languages: English
• ISSNs: 1751-8113

Abstract

Abstract: The paper discusses quantum graphs with a vertex coupling which interpolates between the common one of the δ type and a coupling introduced recently by two of the authors which exhibits a preferred orientation. Describing the interpolation family in terms of circulant matrices, we analyze the spectral and scattering property of such vertices, and investigate the band spectrum of the corresponding square lattice graph.