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An Eigenvalue Inequality for Schrodinger Operators with delta- and delta '-interactions Supported on Hypersurfaces
of the hypersurface. Moreover, we point out special geometries of the interaction supportWe consider self-adjoint Schrodinger operators in L-2(R-d) with a delta-interaction of strength alpha and a del...
BE - Teoretická fyzika
- 2015 •
- D
Rok uplatnění
D - Stať ve sborníku
Approximation of Schrodinger operators with delta-interactions supported on hypersurfaces
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 of Hamiltonians with suitably scaled r...
Pure mathematics
- 2017 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Asymptotic spectral analysis in colliding leaky quantum layers
We consider the Schrodinger operator with a complex delta interaction supported by two parallel hypersurfaces in the Euclidean space of any dimension. We analyse spectral properties of the system in the limit when ...
Applied mathematics
- 2017 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Essential spectrum of Schrödinger operators with delta-interactions on the union of compact Lipschitz hypersurfaces
In this note we prove that the essential spectrum of a Schrödinger operator with ?-potential supported on a finite number of compact Lipschitz hypersurfaces is given by [0, +infinity) We emphasize that the union of a family of Lipsc...
BE - Teoretická fyzika
- 2013 •
- O
Rok uplatnění
O - Ostatní výsledky
Generalized interactions supported on hypersurfaces
interactions supported by a hypersurface Sigma subset of R-n, n >= 2, being the boundary of Sigma the interaction is characterized by four real parameters, the earlier studied case of delta- and delta...
BE - Teoretická fyzika
- 2016 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Boundary triples for Schrodinger operators with singular interactions on hypersurfaces
The self-adjoint Schrodinger operator A(delta, alpha) with a delta-interaction of constant strength alpha supported on a compact smooth hypersurface C is viewed parameter Theta(delta, alpha) in th...
BE - Teoretická fyzika
- 2016 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Schrodinger operators with delta- and delta '-interactions on Lipschitz surfaces and chromatic numbers of associated partitions
We investigate Schrodinger operators with delta- and delta'-interactions supported on hypersurfaces, which separate the Euclidean space into finitely many operators with delta- and delta'...
BE - Teoretická fyzika
- 2014 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Non-local relativistic δ-shell interactions
with the formal expression D-0+|F delta(Sigma)>< G delta(Sigma)|, where D-0 is the free Dirac operator, F and G are matrix valued coefficients, and delta(Sigma) stands for the single layer distribution supported o...
Applied mathematics
- 2024 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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ISF representation of hypersurfaces and rational convolutions computation
Recently, the support function representation of hypersurfaces has been of hypersurfaces. However, for a given hypersurface (represented parametrically or implicitly)it is not always possible to represent it via
BA - Obecná matematika
- 2008 •
- D
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D - Stať ve sborníku
Spectral Asymptotics for a δ' Interaction Supported by an Infinite Curve
In this paper we consider a generalized operator describing an attractive delta' interaction in a strong coupling limit. Delta' interaction is characterized by a coupling parameter and it is supported by a...
BE - Teoretická fyzika
- 2014 •
- D •
- Link
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D - Stať ve sborníku
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