Boundary triples for Schrodinger operators with singular interactions on hypersurfaces

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F16%3A00466591" target="_blank" >RIV/61389005:_____/16:00466591 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.17586/2220-8054-2016-7-2-290-302" target="_blank" >http://dx.doi.org/10.17586/2220-8054-2016-7-2-290-302</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.17586/2220-8054-2016-7-2-290-302" target="_blank" >10.17586/2220-8054-2016-7-2-290-302</a>

Result language

angličtina

Original language name

Boundary triples for Schrodinger operators with singular interactions on hypersurfaces

Original language description

The self-adjoint Schrodinger operator A(delta, alpha) with a delta-interaction of constant strength alpha supported on a compact smooth hypersurface C is viewed as a self-adjoint extension of a natural underlying symmetric operator S in L-2 (R-n). The aim of this note is to construct a boundary triple for S* and a self-adjoint parameter Theta(delta, alpha) in the boundary space L-2 (C) such that A(delta, alpha) corresponds to the boundary condition induced by Theta(delta, alpha). As a consequence, the well-developed theory of boundary triples and their Weyl functions can be applied. This leads, in particular, to a Krein-type resolvent formula and a description of the spectrum of A(delta, alpha) in terms of the Weyl function and Theta(delta, alpha).

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BE - Theoretical physics

OECD FORD branch

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Project

<a href="/en/project/GA14-06818S" target="_blank" >GA14-06818S: Rigorous Methods in Quantum Dynamics: Geometry and Magnetic Fields</a><br>

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2016

Confidentiality

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

Name of the periodical

Nanosystems: Physics, Chemistry, Mathematics

ISSN

2220-8054

e-ISSN

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Volume of the periodical

7

Issue of the periodical within the volume

2

Country of publishing house

RU - RUSSIAN FEDERATION

Number of pages

13

Pages from-to

290-302

UT code for WoS article

000387463100002

EID of the result in the Scopus database

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