Cylindrical type integrable classical systems in a magnetic field

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F20%3A00341063" target="_blank" >RIV/68407700:21340/20:00341063 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1088/1751-8121/ab64a6" target="_blank" >https://doi.org/10.1088/1751-8121/ab64a6</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1751-8121/ab64a6" target="_blank" >10.1088/1751-8121/ab64a6</a>

Result language
angličtina
Original language name
Cylindrical type integrable classical systems in a magnetic field
Original language description
We present all second order classical integrable systems of the cylindrical type in a three dimensional Euclidean space E3 with a nontrivial magnetic field. The Hamiltonian and integrals of motion have the form. Infinite families of such systems are found, in general depending on arbitrary functions or parameters. This leaves open the possibility of finding superintegrable systems among the integrable ones (i.e. systems with 1 or 2 additional independent integrals).
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
—
OECD FORD branch
10102 - Applied 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
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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