Quantum graphs and their resonance properties

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F16%3A50005616" target="_blank" >RIV/62690094:18470/16:50005616 - isvavai.cz</a>

Result on the web

<a href="http://www.physics.sk/aps/pubs/2016/aps-16-04/aps-16-04.pdf" target="_blank" >http://www.physics.sk/aps/pubs/2016/aps-16-04/aps-16-04.pdf</a>

DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Quantum graphs and their resonance properties

Original language description

In the current review, we study the model of quantum graphs. We focus mainly on the resonance properties of quantum graphs. We define resolvent and scattering resonances and show their equivalence. We present various results on the asymptotics of the number of resolvent resonances in both non-magnetic and magnetic quantum graphs and find bounds on the coefficient by the leading term of the asymptotics. We explain methods how to find the spectral and resonance condition. Most of the notions and theorems are illustrated in examples. We show how to find resonances numerically and, in a simple example, we find trajectories of resonances in the complex plane. We discuss Fermi&apos;s golden rule for quantum graphs and distribution of the mean intensity for the topological resonances.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

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

Project

<a href="/en/project/GJ15-14180Y" target="_blank" >GJ15-14180Y: Spectral and resonance properties of quantum models</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2016

Confidentiality

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

Name of the periodical

Acta physica slovaca

ISSN

0323-0465

e-ISSN

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Volume of the periodical

66

Issue of the periodical within the volume

4

Country of publishing house

SK - SLOVAKIA

Number of pages

100

Pages from-to

265-364

UT code for WoS article

000398215000001

EID of the result in the Scopus database

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