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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 t...
Pure mathematics
- 2021 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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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 nece...
Pure mathematics
- 2023 •
- Jimp •
- Link
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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
The spectrum of a self-adjoint differential operator with rapididly oscillating coefficients on the axis
The specral properties of ordinary differential self-adjoint operator with rapidly oscillating coeffients are studied.
BA - Obecná matematika
- 2007 •
- Jx
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Self-adjointness for the MIT bag model on an unbounded cone
is self-adjoint defined on four-component H1-functions satisfying the MIT bag boundary a numerical evidence for the self-adjointness on the same domain also for non-convex cones, which, in particular, yields stabi...
Pure mathematics
- 2024 •
- 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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Singular boundary conditions for Sturm-Liouville operators via perturbation theory
We show that all self-adjoint extensions of semibounded Sturm-Liouville-bounded self-adjoint perturbation of rank equal to the deficiency indices, say d for semibounded Sturm-Liouville operators with with ...
Pure mathematics
- 2023 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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On a comparison between absolute and relative self-adjoint extension schemes
The problem of connecting the operator parameters that label the same self-adjoint extension of a given symmetric operator, respectively, within the ‘absolute’ von Neumann extension scheme and the ‘relative’ bounda...
Pure mathematics
- 2024 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Self-adjoint Extensions of the Two-valley Dirac Operator with Discontinuous Infinite Mass Boundary Conditions
that it has deficiency indices (1,1) and we parametrize all its self-adjoint extensions, relying on the fact that the underlying two-component Dirac operator is symmetric observe that there exists no self-adjo...
Pure mathematics
- 2020 •
- 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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