Integrable systems of the ellipsoidal, paraboloidal and conical type with magnetic field

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21240%2F24%3A00375868" target="_blank" >RIV/68407700:21240/24:00375868 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21340/24:00375868
Result on the web
<a href="https://doi.org/10.1088/1751-8121/ad45cd" target="_blank" >https://doi.org/10.1088/1751-8121/ad45cd</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1751-8121/ad45cd" target="_blank" >10.1088/1751-8121/ad45cd</a>

Result language
angličtina
Original language name
Integrable systems of the ellipsoidal, paraboloidal and conical type with magnetic field
Original language description
We construct integrable Hamiltonian systems with magnetic fields of the ellipsoidal, paraboloidal and conical type, i.e. systems that generalize natural Hamiltonians separating in the respective coordinate systems to include nonvanishing magnetic field. In the ellipsoidal and paraboloidal case each this classification results in three one-parameter families of systems, each involving one arbitrary function of a single variable and a parameter specifying the strength of the magnetic field of the given fully determined form. In the conical case the results are more involved, there are two one-parameter families like in the other cases and one class which is less restrictive and so far resists full classification.
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
10102 - Applied mathematics

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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