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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 operators with delta- and delta'-interactions which is based on an optimal coloring to transform known results for Schrodin...
BE - Teoretická fyzika
- 2014 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Approximation of Schrodinger operators with delta-interactions supported on hypersurfaces
We show that a Schrodinger operator A(delta,alpha) with a delta-interaction of Hamiltonians with suitably scaled regular potentials. The differential operator A(delta,alpha) with a singular interaction is ...
Pure mathematics
- 2017 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
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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 C4-smoot...
BE - Teoretická fyzika
- 2014 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
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An Eigenvalue Inequality for Schrodinger Operators with delta- and delta '-interactions Supported on Hypersurfaces
We consider self-adjoint Schrodinger operators in L-2(R-d) with a delta-interaction of strength alpha and a delta'-interaction of strength beta, respectively, supported on a hypersurface, where alpha and beta(-1) a...
BE - Teoretická fyzika
- 2015 •
- D
Rok uplatnění
D - Stať ve sborníku
Spectral asymptotics for a delta' 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 C4-smoot...
BE - Teoretická fyzika
- 2014 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
Boundary triples for Schrodinger operators with singular interactions on hypersurfaces
The self-adjoint Schrodinger operator A(delta, alpha) with a delta-interaction parameter Theta(delta, alpha) in the boundary space L-2 (C) such that A(delta, alpha) corresponds to the boundary condition in...
BE - Teoretická fyzika
- 2016 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Gaps in the spectrum of the Laplacian in a band with periodic delta interaction
delta interaction. The width of the strip is fixed and for simplicity is chosen equal to pi. The delta interaction is introduced on a periodic system of curves small number. The function describing the delta
Pure mathematics
- 2018 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Gaps in the Spectrum of the Laplacian in a Strip with Periodic Delta Interaction
delta interaction. The width of the strip is fixed and for simplicity is chosen equal to pi. The delta interaction is introduced on a periodic system of curves small number. The function describing the delta
Pure mathematics
- 2019 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
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Spectral asymptotics of a strong delta ' interaction supported by a surface
We derive asymptotic expansion for the spectrum of Hamiltonians with a strong attractive delta' interaction supported by a smooth surface in R-3, either infinite and asymptotically planar, or compact and closed. Its second term is f...
BE - Teoretická fyzika
- 2014 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Smilansky-Solomyak model with a delta'-interaction
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 s...
Applied mathematics
- 2018 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
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