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Spectral Theory for Schrodinger Operators with delta-Interactions Supported on Curves in R-3
The main objective of this paper is to systematically develop a spectral and scattering theory for self-adjoint Schrodinger operators with delta-interactions supported on closed curves in R-3. We provide bounds for...
Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
- 2017 •
- Jimp •
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Jimp - Článek v periodiku v databázi Web of Science
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Non-accretive Schrodinger operators and exponential decay of their eigenfunctions
We consider non-self-adjoint electromagnetic Schrodinger operators on arbitrary open sets with complex scalar potentials whose real part is not necessarily bounded from below. Under a suitable sufficient condition ...
Pure mathematics
- 2017 •
- Jimp •
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Jimp - Článek v periodiku v databázi Web of Science
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The abstract Birman-Schwinger principle and spectral stability
We discuss abstract Birman-Schwinger principles to study spectra of self-adjoint operators subject to small non-self-adjoint perturbations in a factorised. As an application, we revisit known results for ...
Pure mathematics
- 2022 •
- Jimp •
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Jimp - Článek v periodiku v databázi Web of Science
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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 as a self-adjoint extension of a na...
BE - Teoretická fyzika
- 2016 •
- Jx •
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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On the Similarity of Sturm-Liouville Operators with Non-Hermitian Boundary Conditions to Self-Adjoint and Normal Operators
formulae for the similarity transformations, derive a non-local self-adjoint operator similar to the Schrodinger operator and also find the associated "charge conjugationWe consider one-dimensional Sc...
BE - Teoretická fyzika
- 2014 •
- Jx •
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Schrodinger operators with delta-interactions supported on conical surfaces
We investigate the spectral properties of self-adjoint Schrodinger operators with attractive delta-interactions of constant strength alpha > 0 supported on conical surfaces in R-3. It is shown that the essential sp...
BE - Teoretická fyzika
- 2014 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Construction of self-adjoint differential operators with prescribed spectral properties
In this expository article some spectral properties of self-adjoint differential operators are investigated. The main objective is to illustrate and (partly or discrete spectrum of a Schrodinger operator o...
Pure mathematics
- 2022 •
- Jimp •
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Jimp - Článek v periodiku v databázi Web of Science
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Spectral stability of Schrodinger operators with subordinated complex potentials
We prove that the spectrum of Schrodinger operators in three dimensions is purely continuous and coincides with the non-negative semiaxis for all potentials satisfying a form-subordinate smallness condition. By developing the method...
Applied mathematics
- 2018 •
- Jimp •
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Jimp - Článek v periodiku v databázi Web of Science
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Spectral enclosures for non-self-adjoint extensions of symmetric operators
The spectral properties of non-self-adjoint extensions A([B] )of a symmetric operator in a Hilbert space are studied with the help of ordinary and quasi boundary-self-adjoint vertex couplings. of abstract ...
Pure mathematics
- 2018 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Singular Schrodinger operators with prescribed spectral properties
of this self-adjoint operator coincide with prescribed sets on the real line.This paper deals with singular Schrodinger operators of the formnn-d(2)/dx(2) + Sigma(k is an element of Z) gamma(k)delta(. - z...
Pure mathematics
- 2022 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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