Smilansky-Solomyak model with a delta '-interaction

0489396 - ÚJF 2019 RIV NL eng J - Článek v odborném periodiku
Exner, Pavel - Lipovský, J.
Smilansky-Solomyak model with a delta '-interaction.
Physics Letters. A. Roč. 382, č. 18 (2018), s. 1207-1213. ISSN 0375-9601. E-ISSN 1873-2429
Grant CEP: GA ČR GA17-01706S
Institucionální podpora: RVO:61389005
Klíčová slova: Smilansky-Solomyak model * delta '-interaction * spectral theory
Obor OECD: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Impakt faktor: 2.087, rok: 2018

We investigate a strongly singular version of the model of irreversible dynamics proposed by Smilansky and Solomyak in which the interaction responsible for an abrupt change of the spectrum is of delta' type. We determine the spectrum in both the subcritical and supercritical regimes and discuss its character as well as its asymptotic properties of the discrete spectrum in terms of the coupling constant.
Trvalý link: http://hdl.handle.net/11104/0283815