An Infinite Family of Maximally Superintegrable Systems in a Magnetic Field with Higher Order Integrals

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21240%2F18%3A00325049" target="_blank" >RIV/68407700:21240/18:00325049 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21340/18:00325049
Result on the web
<a href="http://dx.doi.org/10.3842/SIGMA.2018.092" target="_blank" >http://dx.doi.org/10.3842/SIGMA.2018.092</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3842/SIGMA.2018.092" target="_blank" >10.3842/SIGMA.2018.092</a>

Result language
angličtina
Original language name
An Infinite Family of Maximally Superintegrable Systems in a Magnetic Field with Higher Order Integrals
Original language description
We construct an additional independent integral of motion for a class of three dimensional minimally superintegrable systems with constant magnetic field. This class was introduced in [J. Phys. A: Math. Theor. 50 (2017), 245202, 24 pages] and it is known to possess periodic closed orbits. In the present paper we demonstrate that it is maximally superintegrable. Depending on the values of the parameters of the system, the newly found integral can be of arbitrarily high polynomial order in momenta.
Czech name
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Czech description
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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
10100 - Mathematics

Project
<a href="/en/project/GA17-11805S" target="_blank" >GA17-11805S: Superintegrable systems in magnetic fields in three spatial dimensions</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
ISSN
1815-0659
e-ISSN
1815-0659
Volume of the periodical
14
Issue of the periodical within the volume
092
Country of publishing house
UA - UKRAINE
Number of pages
22
Pages from-to
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UT code for WoS article
000443333700001
EID of the result in the Scopus database
2-s2.0-85053681845

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