Zobrazeno 1 - 10
of 29
pro vyhledávání: '"Matěj Tušek"'
Publikováno v:
Integral Equations and Operator Theory. 94
In this note the two dimensional Dirac operator $$A_\eta $$ A η with an electrostatic $$\delta $$ δ -shell interaction of strength $$\eta \in {\mathbb {R}}$$ η ∈ R supported on a straight line is studied. We observe a spectral transition in the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cd510ad853c210fcc201b19a51dd03b8
https://doi.org/10.1007/s00020-022-02711-6
https://doi.org/10.1007/s00020-022-02711-6
Publikováno v:
Journal of Physics A: Mathematical and Theoretical. 56:045201
In this paper the two-dimensional Dirac operator with a general hermitian $\delta$-shell interaction supported on a straight line is introduced as a self-adjoint operator and its spectral properties are investigated in detail. In particular, it is de
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8375a5ae24009390967d3120db011952
https://doi.org/10.1088/1751-8121/acafaf
https://doi.org/10.1088/1751-8121/acafaf
Autor:
Lukáš Heriban, Matěj Tušek
Publikováno v:
Journal of Mathematical Analysis and Applications. 516:126536
The one-dimensional Dirac operator with a singular interaction term which is formally given by $A\otimes|\delta_0\rangle\langle\delta_0|$, where $A$ is an arbitrary $2\times 2$ matrix and $\delta_0$ stands for the Dirac distribution, is introduced as
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f8c6d509f523a6494cdd9d5432e2675e
https://doi.org/10.1016/j.jmaa.2022.126536
https://doi.org/10.1016/j.jmaa.2022.126536
Publikováno v:
Integral equations and operator theory. 94(3)
In this note the two dimensional Dirac operator
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=pmid________::97c78d61c9bb27a0e55b52e74dc2b747
https://pubmed.ncbi.nlm.nih.gov/36062080
https://pubmed.ncbi.nlm.nih.gov/36062080
Autor:
David Krejčiřík, Matěj Tušek
Publikováno v:
Journal of Differential Equations. 266:2953-2977
The maxima and minima of Neumann eigenfunctions of thin tubular neighbourhoods of curves on surfaces are located in terms of the maxima and minima of Neumann eigenfunctions of the underlying curves. In particular, the hot spots conjecture for a new l
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dff0259cef61bca93b1ff7984e75e33f
https://doi.org/10.1016/j.jde.2018.08.053
https://doi.org/10.1016/j.jde.2018.08.053
In this work we consider the two-dimensional Dirac operator with general local 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 intera
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ac17c31b6d91157b5ed7fe898beb74cb
http://arxiv.org/abs/2102.09988
http://arxiv.org/abs/2102.09988
We develop a Hilbert-space approach to the diffusion process of the Brownian motion in a bounded domain with random jumps from the boundary introduced by Ben-Ari and Pinsky in 2007. The generator of the process is introduced by a diffusion elliptic d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cff94163d09b01979d186b1e48113d63
Autor:
Matěj Tušek
We show that the one-dimensional Dirac operator with quite general point interaction may be approximated in the norm resolvent sense by the Dirac operator with a scaled regular potential of the form $$1/\varepsilon ~h(x/\varepsilon )\otimes B$$ , whe
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f5f62d5de95b677ae7d06ec5203f0333
We focus on the confinement of two-dimensional Dirac fermions within the waveguides created by realistic magnetic fields. Understanding of their band structure is of our main concern. We provide easily applicable criteria, mostly depending only on th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f116ec1696d62618ed1d0a617778e35a
Autor:
Matěj Tušek, David Krejčiřík
Publikováno v:
Journal of Differential Equations. 258:281-301
This paper is concerned with the location of nodal sets of eigenfunctions of the Dirichlet Laplacian in thin tubular neighbourhoods of hypersurfaces of the Euclidean space of arbitrary dimension. In the limit when the radius of the neighbourhood tend
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6eaf951e2da5e94247b2433a8efd4054
https://doi.org/10.1016/j.jde.2014.09.009
https://doi.org/10.1016/j.jde.2014.09.009