Two-dimensional Dirac operators with general δ-shell interactions supported on a straight line

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F23%3A00365924" target="_blank" >RIV/68407700:21340/23:00365924 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1088/1751-8121/acafaf" target="_blank" >https://doi.org/10.1088/1751-8121/acafaf</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1088/1751-8121/acafaf" target="_blank" >10.1088/1751-8121/acafaf</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Two-dimensional Dirac operators with general δ-shell interactions supported on a straight line

Popis výsledku v původním jazyce

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 demonstrated that the singularly continuous spectrum is always empty and that by switching a certain delta-shell interaction on, it is possible to generate an eigenvalue in the gap of the spectrum of the free operator or to partially or even fully close the gap. This suggests that the studied operators may serve as interesting continuum toy-models for Dirac materials. Finally, approximations by Dirac operators with regular potentials are presented.

Název v anglickém jazyce

Two-dimensional Dirac operators with general δ-shell interactions supported on a straight line

Popis výsledku anglicky

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 demonstrated that the singularly continuous spectrum is always empty and that by switching a certain delta-shell interaction on, it is possible to generate an eigenvalue in the gap of the spectrum of the free operator or to partially or even fully close the gap. This suggests that the studied operators may serve as interesting continuum toy-models for Dirac materials. Finally, approximations by Dirac operators with regular potentials are presented.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2023

Kód důvěrnosti údajů

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

Název periodika

Journal of Physics A: Mathematical and Theoretical

ISSN

1751-8113

e-ISSN

1751-8121

Svazek periodika

56

Číslo periodika v rámci svazku

4

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

29

Strana od-do

1-29

Kód UT WoS článku

000934907600001

EID výsledku v databázi Scopus

2-s2.0-85147972884