Schrodinger operators with delta- and delta '-interactions on Lipschitz surfaces and chromatic numbers of associated partitions

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F14%3A00226109" target="_blank" >RIV/68407700:21340/14:00226109 - isvavai.cz</a>

Alternative codes found

RIV/61389005:_____/14:00433710

Result on the web

<a href="http://dx.doi.org/10.1142/S0129055X14500159" target="_blank" >http://dx.doi.org/10.1142/S0129055X14500159</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1142/S0129055X14500159" target="_blank" >10.1142/S0129055X14500159</a>

Result language

angličtina

Original language name

Schrodinger operators with delta- and delta '-interactions on Lipschitz surfaces and chromatic numbers of associated partitions

Original language description

We investigate Schrodinger operators with delta- and delta'-interactions supported on hypersurfaces, which separate the Euclidean space into finitely many bounded and unbounded Lipschitz domains. It turns out that the combinatorial properties of the partition and the spectral properties of the corresponding operators are related. As the main result, we prove an operator inequality for the Schrodinger operators with delta- and delta'-interactions which is based on an optimal coloring and involves the chromatic number of the partition. This inequality implies various relations for the spectra of the Schrodinger operators and, in particular, it allows to transform known results for Schrodinger operators with delta-interactions to Schrodinger operators with delta'-interactions.

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

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2014

Confidentiality

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

Name of the periodical

Reviews in Mathematical Physics

ISSN

0129-055X

e-ISSN

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Volume of the periodical

26

Issue of the periodical within the volume

8

Country of publishing house

SG - SINGAPORE

Number of pages

43

Pages from-to

1-43

UT code for WoS article

000341932800002

EID of the result in the Scopus database

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