Sequences of closely spaced resonances and eigenvalues for bipartite complex potentials

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F20%3A50017079" target="_blank" >RIV/62690094:18470/20:50017079 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.sciencedirect.com/science/article/pii/S0893965919303738/pdfft?md5=a2dc77a729e3e7b4e3a9ec0aa93aca0c&pid=1-s2.0-S0893965919303738-main.pdf" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0893965919303738/pdfft?md5=a2dc77a729e3e7b4e3a9ec0aa93aca0c&pid=1-s2.0-S0893965919303738-main.pdf</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.aml.2019.106049" target="_blank" >10.1016/j.aml.2019.106049</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Sequences of closely spaced resonances and eigenvalues for bipartite complex potentials

Popis výsledku v původním jazyce

We consider a Schrodinger operator on the axis with a bipartite potential consisting of two compactly supported complex-valued functions, whose supports are separated by a large distance. We show that this operator possesses a sequence of approximately equidistant complex-valued wavenumbers situated near the real axis. Depending on its imaginary part, each wavenumber corresponds to either a resonance or an eigenvalue. The obtained sequence of wavenumbers resembles transmission resonances in electromagnetic Fabry-Perot interferometers formed by parallel mirrors. Our result has potential applications in standard and non-hermitian quantum. mechanics, physics of waveguides, photonics, and in other areas where the Schrodinger operator emerges as an effective Hamiltonian. (C) 2019 Elsevier Ltd. All rights reserved.

Název v anglickém jazyce

Sequences of closely spaced resonances and eigenvalues for bipartite complex potentials

Popis výsledku anglicky

We consider a Schrodinger operator on the axis with a bipartite potential consisting of two compactly supported complex-valued functions, whose supports are separated by a large distance. We show that this operator possesses a sequence of approximately equidistant complex-valued wavenumbers situated near the real axis. Depending on its imaginary part, each wavenumber corresponds to either a resonance or an eigenvalue. The obtained sequence of wavenumbers resembles transmission resonances in electromagnetic Fabry-Perot interferometers formed by parallel mirrors. Our result has potential applications in standard and non-hermitian quantum. mechanics, physics of waveguides, photonics, and in other areas where the Schrodinger operator emerges as an effective Hamiltonian. (C) 2019 Elsevier Ltd. All rights reserved.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

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OECD FORD obor

10102 - Applied mathematics

Projekt

—

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

Applied mathematics letters

ISSN

0893-9659

e-ISSN

—

Svazek periodika

100

Číslo periodika v rámci svazku

FEBRUARY

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

9

Strana od-do

"Article Number: 106049"

Kód UT WoS článku

000494048300029

EID výsledku v databázi Scopus

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