A family of quantum graph vertex couplings interpolating between different symmetries
Mathematical Physics
2018-06-11 v2 math.MP
Spectral Theory
Quantum Physics
Abstract
The paper discusses quantum graphs with a vertex coupling which interpolates between the common one of the 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.
Keywords
Cite
@article{arxiv.1804.01414,
title = {A family of quantum graph vertex couplings interpolating between different symmetries},
author = {Pavel Exner and Ondřej Turek and Miloš Tater},
journal= {arXiv preprint arXiv:1804.01414},
year = {2018}
}
Comments
revised version; 24 pages, 5 figures