A family of quantum graph vertex couplings interpolating between different symmetries

0490635 - ÚJF 2019 RIV GB eng J - Článek v odborném periodiku
Exner, Pavel - Turek, Ondřej - Tater, Miloš
A family of quantum graph vertex couplings interpolating between different symmetries.
Journal of Physics A-Mathematical and Theoretical. Roč. 51, č. 28 (2018), č. článku 285301. ISSN 1751-8113. E-ISSN 1751-8121
Grant CEP: GA ČR GA17-01706S
Institucionální podpora: RVO:61389005
Klíčová slova: quantum graphs * vertex coupling * time reversal noninvariance * square lattice * interpolation * rotational symmetry * circulant matrix
Obor OECD: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Impakt faktor: 2.110, rok: 2018

The paper discusses quantum graphs with a vertex coupling which interpolates between the common one of the delta 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.
Trvalý link: http://hdl.handle.net/11104/0284797