Operator Theory: Advances and Applications

0576241 - ÚJF 2024 RIV DE eng M - Část monografie knihy
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
Grant CEP: GA ČR(CZ) GA21-07129S
Institucionální podpora: RVO:61389005
Klíčová slova: Four-parameter interaction * Irreversible quantum graph * Smilansky-Solomyak model
Obor OECD: Applied mathematics

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.
Trvalý link: https://hdl.handle.net/11104/0345817