A regular version of Smilansky model

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F14%3A00226107" target="_blank" >RIV/68407700:21340/14:00226107 - isvavai.cz</a>

Alternative codes found

RIV/61389005:_____/14:00429049

Result on the web

<a href="http://dx.doi.org/10.1063/1.4870602" target="_blank" >http://dx.doi.org/10.1063/1.4870602</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1063/1.4870602" target="_blank" >10.1063/1.4870602</a>

Result language

angličtina

Original language name

A regular version of Smilansky model

Original language description

We discuss a modification of Smilansky model in which a singular potential "channel" is replaced by a regular, below unbounded potential which shrinks as it becomes deeper. We demonstrate that, similarly to the original model, such a system exhibits a spectral transition with respect to the coupling constant, and determine the critical value above which a new spectral branch opens. The result is generalized to situations with multiple potential "channels."

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

2014

Confidentiality

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

Name of the periodical

Journal of Mathematical Physics

ISSN

0022-2488

e-ISSN

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Volume of the periodical

55

Issue of the periodical within the volume

4

Country of publishing house

US - UNITED STATES

Number of pages

13

Pages from-to

1-13

UT code for WoS article

000336084100011

EID of the result in the Scopus database

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