0576241 - ÚJF 2024 RIV DE eng M - Monography Chapter
Exner, Pavel - Lipovský, J.
Spectral Transition Model with the General Contact Interaction.
Operator Theory: Advances and Applications. Vol. 291. Cham: Birkhäuser, 2023, s. 523-547. ISBN 978-3-031-31138-3
R&D Projects: GA ČR(CZ) GA21-07129S
Institutional support: RVO:61389005
Keywords : Four-parameter interaction * Irreversible quantum graph * Smilansky-Solomyak model
OECD category: Applied mathematics
DOI: https://doi.org/10.1007/978-3-031-31139-0_19

Using a technique introduced by Sergei Naboko, we analyze a generalization of the parameter-controlled model of spectral transition, originally proposed by Smilansky and Solomyak, to the situation where the singular interaction responsible for the effect is characterized by the ‘full’ family of four real numbers with the ‘diagonal’ part of the coupling being position-dependent.
Permanent Link: https://hdl.handle.net/11104/0345817