General δ-shell interactions for the two-dimensional Dirac operator: self-adjointness and approximation

Kód výsledku v IS VaVaI

RIV/61389005:_____/23:00574839 - isvavai.cz

Nalezeny alternativní kódy

RIV/68407700:21340/23:00369759

Výsledek na webu

https://doi.org/10.4171/rmi/1354

DOI - Digital Object Identifier

10.4171/RMI/1354

Jazyk výsledku

angličtina

Název v původním jazyce

General δ-shell interactions for the two-dimensional Dirac operator: self-adjointness and approximation

Popis výsledku v původním jazyce

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 interactions: electrostatic, Lorentz scalar, magnetic, and a fourth one which can be absorbed by using unitary transformations. We address the self-adjointness and the spectral description of the underlying Dirac operator. In the non-critical case, we do so by providing a boundary triple, and in the critical purely magnetic case, by exploiting the phenomenon of confinement and super-symmetry. Moreover, we justify our model by showing that Dirac operators with singular interactions are limits in the strong resolvent sense of Dirac operators with regular potentials.

Název v anglickém jazyce

General δ-shell interactions for the two-dimensional Dirac operator: self-adjointness and approximation

Popis výsledku anglicky

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 interactions: electrostatic, Lorentz scalar, magnetic, and a fourth one which can be absorbed by using unitary transformations. We address the self-adjointness and the spectral description of the underlying Dirac operator. In the non-critical case, we do so by providing a boundary triple, and in the critical purely magnetic case, by exploiting the phenomenon of confinement and super-symmetry. Moreover, we justify our model by showing that Dirac operators with singular interactions are limits in the strong resolvent sense of Dirac operators with regular potentials.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

GA21-07129S: Nové jevy pocházející z narušení invariance vůči časové inversi

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2023

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Revista Matematica Iberoamericana

ISSN

0213-2230

e-ISSN

—

Svazek periodika

39

Číslo periodika v rámci svazku

4

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

50

Strana od-do

1443-1492

Kód UT WoS článku

001044706500010

EID výsledku v databázi Scopus

2-s2.0-85166117067