Non-self-adjoint relativistic point interaction in one dimension

Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F22%3A00360593" target="_blank" >RIV/68407700:21340/22:00360593 - isvavai.cz</a>
Výsledek na webu
<a href="https://doi.org/10.1016/j.jmaa.2022.126536" target="_blank" >https://doi.org/10.1016/j.jmaa.2022.126536</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jmaa.2022.126536" target="_blank" >10.1016/j.jmaa.2022.126536</a>

Jazyk výsledku
angličtina
Název v původním jazyce
Non-self-adjoint relativistic point interaction in one dimension
Popis výsledku v původním jazyce
The one-dimensional Dirac operator with a singular interaction term which is formally given by A⊗|δ0><δ0|, where A is an arbitrary 2x2 matrix and δ0 stands 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 also address the question of regular approximations. In particular, we show that, contrary to the case of local approximations, for non-local approximating potentials, coupling constants are not renormalized in the limit.
Název v anglickém jazyce
Non-self-adjoint relativistic point interaction in one dimension
Popis výsledku anglicky
The one-dimensional Dirac operator with a singular interaction term which is formally given by A⊗|δ0><δ0|, where A is an arbitrary 2x2 matrix and δ0 stands 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 also address the question of regular approximations. In particular, we show that, contrary to the case of local approximations, for non-local approximating potentials, coupling constants are not renormalized in the limit.

Projekt
<a href="/cs/project/GX20-17749X" target="_blank" >GX20-17749X: Nové výzvy pro spektrální teorii: geometrie, pokročilé materiály a komplexní pole</a><br>
Návaznosti
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění
2022
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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