On the existence of bound states in asymmetric leaky wires

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F16%3A00458648" target="_blank" >RIV/61389005:_____/16:00458648 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/68407700:21340/16:00307405

Výsledek na webu

<a href="http://dx.doi.org/10.1063/1.4941139" target="_blank" >http://dx.doi.org/10.1063/1.4941139</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1063/1.4941139" target="_blank" >10.1063/1.4941139</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On the existence of bound states in asymmetric leaky wires

Popis výsledku v původním jazyce

We analyze spectral properties of a leaky wire model with a potential bias. It describes a two-dimensional quantum particle exposed to a potential consisting of two parts. One is an attractive delta-interaction supported by a non-straight, piecewise smooth curve L dividing the plane into two regions of which one, the "interior," is convex. The other interaction component is a constant positive potential V-0 in one of the regions. We show that in the critical case, V-0 = alpha(2), the discrete spectrum is non-void if and only if the bias is supported in the interior. We also analyze the non-critical situations, in particular, we show that in the subcritical case, V-0 < alpha(2), the system may have any finite number of bound states provided the angle between the asymptotes of L is small enough.

Název v anglickém jazyce

On the existence of bound states in asymmetric leaky wires

Popis výsledku anglicky

We analyze spectral properties of a leaky wire model with a potential bias. It describes a two-dimensional quantum particle exposed to a potential consisting of two parts. One is an attractive delta-interaction supported by a non-straight, piecewise smooth curve L dividing the plane into two regions of which one, the "interior," is convex. The other interaction component is a constant positive potential V-0 in one of the regions. We show that in the critical case, V-0 = alpha(2), the discrete spectrum is non-void if and only if the bias is supported in the interior. We also analyze the non-critical situations, in particular, we show that in the subcritical case, V-0 < alpha(2), the system may have any finite number of bound states provided the angle between the asymptotes of L is small enough.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BE - Teoretická fyzika

OECD FORD obor

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Projekt

<a href="/cs/project/GA14-06818S" target="_blank" >GA14-06818S: Rigorózní metody v kvantové dynamice: geometrie a magnetická pole</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2016

Kód důvěrnosti údajů

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

Název periodika

Journal of Mathematical Physics

ISSN

0022-2488

e-ISSN

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Svazek periodika

57

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

15

Strana od-do

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Kód UT WoS článku

000371620000030

EID výsledku v databázi Scopus

2-s2.0-84957991287