Publisher DOI: 10.1063/1.4947181
arXiv ID: 1511.06903v1
Title: Generalized interactions supported on hypersurfaces
Language: English
Authors: Exner, Pavel 
Rohleder, Jonathan 
Keywords: Mathematical Physics; Mathematical Physics; Mathematics - Analysis of PDEs; Mathematics - Mathematical Physics; Mathematics - Spectral Theory; Quantum Physics
Issue Date: 1-Apr-2016
Source: Journal of Mathematical Physics 4 (57): 041507 (2016-04-01)
Abstract (english): 
We analyze a family of singular Schrödinger operators with local singular interactions supported by a hypersurface Σ ⊂ ℝⁿ, n ≥ 2, being the boundary of a Lipschitz domain, bounded or unbounded, not necessarily connected. At each point of Σ the interaction is characterized by four real parameters, the earlier studied case of δ- and δ'-interactions being particular cases. We discuss spectral properties of these operators and derive operator inequalities between those referring to the same hypersurface but different couplings and describe their implications for spectral properties.
URI: http://hdl.handle.net/11420/6153
ISSN: 1527-2427
Journal: Journal of mathematical physics 
Institute: Mathematik E-10 
Document Type: Article
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