Smilansky-Solomyak model with a delta '-interaction

0489396 - ÚJF 2019 RIV NL eng J - Journal Article
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
R&D Projects: GA ČR GA17-01706S
Institutional support: RVO:61389005
Keywords : Smilansky-Solomyak model * delta '-interaction * spectral theory
OECD category: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Impact factor: 2.087, year: 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.
Permanent Link: http://hdl.handle.net/11104/0283815