Spectral Transition for Dirac Operators with Electrostatic delta-Shell Potentials Supported on the Straight Line
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F22%3A00360592" target="_blank" >RIV/68407700:21340/22:00360592 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s00020-022-02711-6" target="_blank" >https://doi.org/10.1007/s00020-022-02711-6</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00020-022-02711-6" target="_blank" >10.1007/s00020-022-02711-6</a>
Alternative languages
Result language
angličtina
Original language name
Spectral Transition for Dirac Operators with Electrostatic delta-Shell Potentials Supported on the Straight Line
Original language description
In this note the two dimensional Dirac operator A(eta) with an electrostatic delta-shell interaction of strength eta is an element of R supported on a straight line is studied. We observe a spectral transition in the sense that for the critical interaction strengths eta = +/- 2 the continuous spectrum of A. inside the spectral gap of the free Dirac operator A(0) collapses abruptly to a single point.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
—
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Integral Equations and Operator Theory
ISSN
0378-620X
e-ISSN
1420-8989
Volume of the periodical
94
Issue of the periodical within the volume
3
Country of publishing house
CH - SWITZERLAND
Number of pages
13
Pages from-to
1-13
UT code for WoS article
000847689200001
EID of the result in the Scopus database
2-s2.0-85137197563