Spherical 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%3A21240%2F18%3A00321191" target="_blank" >RIV/68407700:21240/18:00321191 - isvavai.cz</a>

Alternative codes found

RIV/68407700:21340/18:00321191

Result on the web

<a href="http://dx.doi.org/10.1088/1751-8121/aaae9b" target="_blank" >http://dx.doi.org/10.1088/1751-8121/aaae9b</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1088/1751-8121/aaae9b" target="_blank" >10.1088/1751-8121/aaae9b</a>

Result language

angličtina

Original language name

Spherical type integrable classical systems in a magnetic field

Original language description

We show that four classes of second order spherical type integrable classical systems in a magnetic field exist in the Euclidean space E-3, and construct the Hamiltonian and two second order integrals of motion in involution for each of them. For one of the classes the Hamiltonian depends on four arbitrary functions of one variable. This class contains the magnetic monopole as a special case. Two further classes have Hamiltonians depending on one arbitrary function of one variable and four or six constants, respectively. The magnetic field in these cases is radial. The remaining system corresponds to a constant magnetic field and the Hamiltonian depends on two constants. Questions of superintegrability-i. e. the existence of further integrals-are discussed.

Czech name

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Czech description

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Type

J_imp - 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

Journal of Physics A: Mathematical and Theoretical

ISSN

1751-8113

e-ISSN

1751-8121

Volume of the periodical

51

Issue of the periodical within the volume

13

Country of publishing house

GB - UNITED KINGDOM

Number of pages

24

Pages from-to

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UT code for WoS article

000426960300001

EID of the result in the Scopus database

2-s2.0-85043511840