Asymptotic spectral analysis in colliding leaky quantum layers

Result code in IS VaVaI

RIV/61389005:_____/17:00473567 - isvavai.cz

Alternative codes found

RIV/68407700:21340/17:00303426

Result on the web

http://dx.doi.org/10.1016/j.jmaa.2016.09.032

DOI - Digital Object Identifier

10.1016/j.jmaa.2016.09.032

Result language

angličtina

Original language name

Asymptotic spectral analysis in colliding leaky quantum layers

Original language description

We consider the Schrodinger operator with a complex delta interaction supported by two parallel hypersurfaces in the Euclidean space of any dimension. We analyse spectral properties of the system in the limit when the distance between the hypersurfaces tends to zero. We establish the norm-resolvent convergence to a limiting operator and derive first-order corrections for the corresponding eigenvalues.

Czech name

—

Czech description

—

Type

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

CEP classification

—

OECD FORD branch

10102 - Applied mathematics

Project

GA14-06818S: Rigorous Methods in Quantum Dynamics: Geometry and Magnetic Fields

Continuities

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

Publication year

2017

Confidentiality

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

Name of the periodical

Journal of Mathematical Analysis and Applications

ISSN

0022-247X

e-ISSN

—

Volume of the periodical

446

Issue of the periodical within the volume

2

Country of publishing house

US - UNITED STATES

Number of pages

28

Pages from-to

1328-1355

UT code for WoS article

000387628300012

EID of the result in the Scopus database

2-s2.0-84992573840