Integrable systems in magnetic fields: the generalized parabolic cylindrical case

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21240%2F24%3A00375869" target="_blank" >RIV/68407700:21240/24:00375869 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21340/24:00375869
Result on the web
<a href="https://doi.org/10.1088/1751-8121/ad4936" target="_blank" >https://doi.org/10.1088/1751-8121/ad4936</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1751-8121/ad4936" target="_blank" >10.1088/1751-8121/ad4936</a>

Result language
angličtina
Original language name
Integrable systems in magnetic fields: the generalized parabolic cylindrical case
Original language description
This article is a contribution to the classification of quadratically integrable systems with vector potentials whose integrals are of the nonstandard, nonseparable type. We focus on generalized parabolic cylindrical case, related to non-subgroup-type coordinates. We find three new systems, two with magnetic fields polynomial in Cartesian coordinates and one with unbounded exponential terms. The limit in the parameters of the integrals yields a new parabolic cylindrical system; the limit of vanishing magnetic fields leads to the free motion. This confirms the conjecture that non-subgroup type integrals can be related to separable systems only in a trivial manner.
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
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Continuities
S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

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

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