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Non-self-adjoint relativistic point interaction in one dimension
for the Dirac distribution, is introduced as a closed not necessarily self-adjoint operator. We study its spectral properties, find its non-relativistic limit and alsoThe one-dimensional Dirac operator with a singular ...
Pure mathematics
- 2022 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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The collapse of quasi-self-adjointness at the exceptional points of a PT-symmetric model with complex Robin boundary conditions
We consider non-self-adjoint PT-symmetric operators of Sturm–Liouville type to a self-adjoint operator in dependence on the boundary parameter. We determine the values of the parameter for which the model ...
Pure mathematics
- 2021 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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General δ-shell interactions for the two-dimensional Dirac operator: self-adjointness and approximation
singular interactions supported on a closed curve. A systematic study of the interaction is performed by decomposing it into a linear combination of four elementary interactions: electrostatic, Lorentz scalar, magnetic, an...
Pure mathematics
- 2023 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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NON-SELF-ADJOINT GRAPHS
On finite metric graphs we consider Laplace operators, subject to various classes of non-self-adjoint boundary conditions imposed at graph vertices. We investigate spectral properties, existence of a Riesz basis of projecto...
BE - Teoretická fyzika
- 2015 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Complex-self-adjointness
in quantum mechanics with non-self-adjoint operators.We develop the concept of operators in Hilbert spaces which are similar to their adjoints via antiunitary operators, the latter being not necessarily involutive...
Pure mathematics
- 2023 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Oscillation and spectral properties of self-adjoint even order differential operators with middle terms
Oscillation and spectral properties of even order self-adjoint even order differential operators with middle terms. A particular attention is devoted to the fourth order operators....
BA - Obecná matematika
- 2004 •
- D
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D - Stať ve sborníku
Recent Developments in Spectral Theory for Non-self-adjoint Hamiltonians
The objective of this survey is to collect and elaborate on different tools, both well-established and more recent ones, which have been developed in the last decades to investigate spectral properties of non-self-adjoint o...
Pure mathematics
- 2024 •
- D •
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D - Stať ve sborníku
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Pseudomodes of Schrödinger operators
Pseudomodes of non-self-adjoint Schr & ouml;dinger operators corresponding to large pseudoeigenvalues are constructed. The approach is non-semiclassical and extendable to other types of models including the damped ...
Pure mathematics
- 2024 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Complex magnetic fields: An improved Hardy-Laptev-Weidl inequality and quasi-self-adjointness
. We study basis properties of the non-self-adjoint momenta and derive closed formulae for the similarity transforms relating them to self-adjoint operators....
Applied mathematics
- 2019 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Absence of eigenvalues of non-self-adjoint Robin Laplacians on the half-space
on the potential. Some of the results are new even in the self-adjoint setting, where we obtain...
Pure mathematics
- 2020 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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