Spectral estimates for a class of Schrodinger operators with infinite phase space and potential unbounded from below

Result code in IS VaVaI

RIV/61389005:_____/12:00388581 - isvavai.cz

Result on the web

http://dx.doi.org/10.1088/1751-8113/45/7/075204

DOI - Digital Object Identifier

10.1088/1751-8113/45/7/075204

Result language

angličtina

Original language name

Spectral estimates for a class of Schrodinger operators with infinite phase space and potential unbounded from below

Original language description

We analyse two-dimensional Schrodinger operators with the potential vertical bar xy vertical bar(p) - lambda(x(2) + y(2))(p/(p+2)) where p >= 1 and lambda >= 0. We show that there is a critical value of lambda such that the spectrum for lambda < lambda(crit) is bounded below and purely discrete, while for lambda > lambda(crit) it is unbounded from below. In the subcritical case, we prove upper and lower bounds for the eigenvalue sums.

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

2012

Confidentiality

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

Name of the periodical

Journal of Physics A-Mathematical and Theoretical

ISSN

1751-8113

e-ISSN

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Volume of the periodical

45

Issue of the periodical within the volume

7

Country of publishing house

GB - UNITED KINGDOM

Number of pages

14

Pages from-to

"075204/1"-"1075204/4"

UT code for WoS article

000300452800006

EID of the result in the Scopus database

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