Quantum graphs: Self-adjoint, and yet exhibiting a nontrivial PT-symmetry

0546250 - ÚJF 2022 RIV NL eng J - Článek v odborném periodiku
Exner, Pavel - Tater, Miloš
Quantum graphs: Self-adjoint, and yet exhibiting a nontrivial PT-symmetry.
Physics Letters. A. Roč. 416, NOV (2021), č. článku 127669. ISSN 0375-9601. E-ISSN 1873-2429
Grant CEP: GA ČR(CZ) GA21-07129S
Institucionální podpora: RVO:61389005
Klíčová slova: Quantum graph * PT-symmetry * Vertex coupling * Lattice transport properties
Obor OECD: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Impakt faktor: 2.707, rok: 2021
Způsob publikování: Omezený přístup
https://doi.org/10.1016/j.physleta.2021.127669

We demonstrate that a quantum graph exhibits a PT-symmetry provided the coefficients in the condition describing the wave function matching at the vertices are circulant matrices, this symmetry is nontrivial if they are not invariant with respect to transposition. We also illustrate how the transport properties of such graphs are significantly influenced by the presence or absence of the non-Robin component of the coupling.
Trvalý link: http://hdl.handle.net/11104/0322793