Ring chains with vertex coupling of a preferred orientation

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F21%3A00540723" target="_blank" >RIV/61389005:_____/21:00540723 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/68407700:21340/21:00355946

Výsledek na webu

<a href="https://doi.org/10.1142/S0129055X20600053" target="_blank" >https://doi.org/10.1142/S0129055X20600053</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1142/S0129055X20600053" target="_blank" >10.1142/S0129055X20600053</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Ring chains with vertex coupling of a preferred orientation

Popis výsledku v původním jazyce

We consider a family of Schrodinger operators supported by a periodic chain of loops connected either tightly or loosely through connecting links of the length l > 0 with the vertex coupling which is non-invariant with respect to the time reversal. The spectral behavior of the model illustrates that the high-energy behavior of such vertices is determined by the vertex parity. The positive spectrum of the tightly connected chain covers the entire halfline while the one of the loose chain is dominated by gaps. In addition, there is a negative spectrum consisting of an infinitely degenerate eigenvalue in the former case, and of one or two absolutely continuous bands in the latter. Furthermore, we discuss the limit l -> 0 and show that while the spectrum converges as a set to that of the tight chain, as it should in view of a result by Berkolaiko, Latushkin, and Sukhtaiev, this limit is rather non-uniform.

Název v anglickém jazyce

Ring chains with vertex coupling of a preferred orientation

Popis výsledku anglicky

We consider a family of Schrodinger operators supported by a periodic chain of loops connected either tightly or loosely through connecting links of the length l > 0 with the vertex coupling which is non-invariant with respect to the time reversal. The spectral behavior of the model illustrates that the high-energy behavior of such vertices is determined by the vertex parity. The positive spectrum of the tightly connected chain covers the entire halfline while the one of the loose chain is dominated by gaps. In addition, there is a negative spectrum consisting of an infinitely degenerate eigenvalue in the former case, and of one or two absolutely continuous bands in the latter. Furthermore, we discuss the limit l -> 0 and show that while the spectrum converges as a set to that of the tight chain, as it should in view of a result by Berkolaiko, Latushkin, and Sukhtaiev, this limit is rather non-uniform.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2021

Kód důvěrnosti údajů

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

Název periodika

Reviews in Mathematical Physics

ISSN

0129-055X

e-ISSN

1793-6659

Svazek periodika

33

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

SG - Singapurská republika

Počet stran výsledku

14

Strana od-do

2060005

Kód UT WoS článku

000613313200006

EID výsledku v databázi Scopus

2-s2.0-85083369624