On Two-dimensional Dirac Operators with δ-Shell Interactions Supported on Unbounded Curves with Straight Ends

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F25%3A00386052" target="_blank" >RIV/68407700:21340/25:00386052 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1007/978-981-96-3584-9_2" target="_blank" >https://doi.org/10.1007/978-981-96-3584-9_2</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/978-981-96-3584-9_2" target="_blank" >10.1007/978-981-96-3584-9_2</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On Two-dimensional Dirac Operators with δ-Shell Interactions Supported on Unbounded Curves with Straight Ends

Popis výsledku v původním jazyce

In this paper we study the self-adjointness and spectral properties of two-dimensional Dirac operators with electrostatic, Lorentz scalar, and anomalous magnetic δ-shell interactions with constant weights that are supported on a smooth unbounded curve that is straight outside a compact set and whose ends are rays that are not parallel to each other. For all possible combinations of interaction strengths we describe the self-adjoint realizations and compute their essential spectra. Moreover, we prove in different situations the existence of geometrically induced discrete eigenvalues.

Název v anglickém jazyce

On Two-dimensional Dirac Operators with δ-Shell Interactions Supported on Unbounded Curves with Straight Ends

Popis výsledku anglicky

In this paper we study the self-adjointness and spectral properties of two-dimensional Dirac operators with electrostatic, Lorentz scalar, and anomalous magnetic δ-shell interactions with constant weights that are supported on a smooth unbounded curve that is straight outside a compact set and whose ends are rays that are not parallel to each other. For all possible combinations of interaction strengths we describe the self-adjoint realizations and compute their essential spectra. Moreover, we prove in different situations the existence of geometrically induced discrete eigenvalues.

Druh

C - Kapitola v odborné knize

CEP obor

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OECD FORD obor

10101 - Pure mathematics

Projekt

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Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2025

Kód důvěrnosti údajů

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

Název knihy nebo sborníku

Singularities, Asymptotics, and Limiting Models

ISBN

978-981-96-3584-9

Počet stran výsledku

43

Strana od-do

35-77

Počet stran knihy

351

Název nakladatele

Springer Nature Singapore Pte Ltd.

Místo vydání

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Kód UT WoS kapitoly

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