Approximation of Schrodinger operators with delta-interactions supported on hypersurfaces

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F17%3A00475714" target="_blank" >RIV/61389005:_____/17:00475714 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21340/17:00319057
Result on the web
<a href="http://dx.doi.org/10.1002/mana.201500498" target="_blank" >http://dx.doi.org/10.1002/mana.201500498</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/mana.201500498" target="_blank" >10.1002/mana.201500498</a>

Result language
angličtina
Original language name
Approximation of Schrodinger operators with delta-interactions supported on hypersurfaces
Original language description
We show that a Schrodinger operator A(delta,alpha) with a delta-interaction of strength alpha supported on a bounded or unbounded C-2-hypersurface Sigma subset of R-d, d >= 2, can be approximated in the norm resolvent sense by a family of Hamiltonians with suitably scaled regular potentials. The differential operator A(delta,alpha) with a singular interaction is regarded as a self-adjoint realization of the formal differential expression - Delta - alpha <delta(Sigma),.>delta(Sigma), where alpha : Sigma -> R is an arbitrary bounded measurable function. We discuss also some spectral consequences of this approximation result.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA14-06818S" target="_blank" >GA14-06818S: Rigorous Methods in Quantum Dynamics: Geometry and Magnetic Fields</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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