Spectral Analysis of a Quantum System with a Double Line Singular Interaction
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F13%3A00428327" target="_blank" >RIV/61389005:_____/13:00428327 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.4171/PRIMS/121" target="_blank" >http://dx.doi.org/10.4171/PRIMS/121</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.4171/PRIMS/121" target="_blank" >10.4171/PRIMS/121</a>
Alternative languages
Result language
angličtina
Original language name
Spectral Analysis of a Quantum System with a Double Line Singular Interaction
Original language description
We consider a non-relativistic quantum particle interacting with a singular potential supported by two parallel straight lines in the plane. We locate the essential spectrum under the hypothesis that the interaction asymptotically approaches a constant value, and find conditions which guarantee either the existence of discrete eigenvalues or Hardy-type inequalities. For a class of our models admitting mirror symmetry, we also establish the existence of embedded eigenvalues and show that they turn into resonances after introducing a small perturbation.
Czech name
—
Czech description
—
Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
—
Result continuities
Project
<a href="/en/project/GAP203%2F11%2F0701" target="_blank" >GAP203/11/0701: Guided Quantum Dynamics</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Publications of the Research Institute for Mathematical Sciences
ISSN
0034-5318
e-ISSN
—
Volume of the periodical
49
Issue of the periodical within the volume
4
Country of publishing house
JP - JAPAN
Number of pages
29
Pages from-to
831-859
UT code for WoS article
000333547100007
EID of the result in the Scopus database
—