The relativistic rotated harmonic oscillator
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F25%3A00386699" target="_blank" >RIV/68407700:21340/25:00386699 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1098/rspa.2024.0920" target="_blank" >https://doi.org/10.1098/rspa.2024.0920</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1098/rspa.2024.0920" target="_blank" >10.1098/rspa.2024.0920</a>
Alternative languages
Result language
angličtina
Original language name
The relativistic rotated harmonic oscillator
Original language description
We introduce a relativistic version of the non-self-adjoint operator obtained by a dilation analytic transformation of the quantum harmonic oscillator. While the spectrum is real and discrete, we show that the eigenfunctions do not form a basis and that the pseudospectra are highly non-trivial.
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
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GX20-17749X" target="_blank" >GX20-17749X: New challenges for spectral theory: geometry, advanced materials and complex fields</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
ISSN
1364-5021
e-ISSN
1471-2946
Volume of the periodical
481
Issue of the periodical within the volume
2314
Country of publishing house
GB - UNITED KINGDOM
Number of pages
17
Pages from-to
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UT code for WoS article
001491163500005
EID of the result in the Scopus database
2-s2.0-105005597436