Superintegrable 3D systems in a magnetic field corresponding to Cartesian separation of variables

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21240%2F17%3A00313771" target="_blank" >RIV/68407700:21240/17:00313771 - isvavai.cz</a>

Alternative codes found

RIV/68407700:21340/17:00313771

Result on the web

<a href="http://dx.doi.org/10.1088/1751-8121/aa6f68" target="_blank" >http://dx.doi.org/10.1088/1751-8121/aa6f68</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1088/1751-8121/aa6f68" target="_blank" >10.1088/1751-8121/aa6f68</a>

Result language

angličtina

Original language name

Superintegrable 3D systems in a magnetic field corresponding to Cartesian separation of variables

Original language description

We consider three dimensional superintegrable systems in a magnetic field. We study the class of such systems which separate in Cartesian coordinates in the limit when the magnetic field vanishes, i.e. possess two second order integrals of motion of the 'Cartesian type'. For such systems we look for additional integrals up to second order in momenta which make these systems minimally or maximally superintegrable and construct their polynomial algebras of integrals and their trajectories. We observe that the structure of the leading order terms of the Cartesian type integrals should be considered in a more general form than for the case without magnetic field.

Czech name

—

Czech description

—

Type

J_imp - 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

2017

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Journal of Physics A: Mathematical and Theoretical

ISSN

1751-8113

e-ISSN

1751-8121

Volume of the periodical

50

Issue of the periodical within the volume

24

Country of publishing house

GB - UNITED KINGDOM

Number of pages

24

Pages from-to

—

UT code for WoS article

000401618600003

EID of the result in the Scopus database

2-s2.0-85019642302