Spectral properties of spiral-shaped quantum waveguides

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F20%3A00538785" target="_blank" >RIV/61389005:_____/20:00538785 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/68407700:21340/20:00346538

Výsledek na webu

<a href="https://doi.org/10.1088/1751-8121/abc5d3" target="_blank" >https://doi.org/10.1088/1751-8121/abc5d3</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1088/1751-8121/abc5d3" target="_blank" >10.1088/1751-8121/abc5d3</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Spectral properties of spiral-shaped quantum waveguides

Popis výsledku v původním jazyce

We investigate properties of a particle confined to a hard-wall spiral-shaped region. As a case study we analyze in detail the Archimedean spiral for which the spectrum above the continuumthreshold is absolutely continuous away from the thresholds.The subtle difference between the radial and perpendicularwidth implies, however, that in contrast to the 'less curved' waveguides, the discrete spectrum is empty in this case. We also discuss modifications such as multiarm Archimedean spirals and spiral waveguides with a central cavity. In the latter case bound state already exist if the cavity radius exceeds a critical size. For more general spiral regions the spectral nature depends on whether they are 'expanding' or 'shrinking'. The most interesting situation occurs in the asymptotically Archimedean case where the existence of bound states depends on the direction from which the asymptotical value of width is reached.

Název v anglickém jazyce

Spectral properties of spiral-shaped quantum waveguides

Popis výsledku anglicky

We investigate properties of a particle confined to a hard-wall spiral-shaped region. As a case study we analyze in detail the Archimedean spiral for which the spectrum above the continuumthreshold is absolutely continuous away from the thresholds.The subtle difference between the radial and perpendicularwidth implies, however, that in contrast to the 'less curved' waveguides, the discrete spectrum is empty in this case. We also discuss modifications such as multiarm Archimedean spirals and spiral waveguides with a central cavity. In the latter case bound state already exist if the cavity radius exceeds a critical size. For more general spiral regions the spectral nature depends on whether they are 'expanding' or 'shrinking'. The most interesting situation occurs in the asymptotically Archimedean case where the existence of bound states depends on the direction from which the asymptotical value of width is reached.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)

Projekt

<a href="/cs/project/EF16_019%2F0000778" target="_blank" >EF16_019/0000778: Centrum pokročilých aplikovaných přírodních věd</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2020

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

—

Svazek periodika

53

Číslo periodika v rámci svazku

50

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

25

Strana od-do

505303

Kód UT WoS článku

000615524600001

EID výsledku v databázi Scopus

2-s2.0-85097765368