Наукова електронна бібліотека
періодичних видань НАН України

Quantum Deformations and Superintegrable Motions on Spaces with Variable Curvature

Репозиторій DSpace/Manakin

Показати простий запис статті

dc.contributor.author Ragnisco, O.
dc.contributor.author Ballesteros, A.
dc.contributor.author Herranz, F.J.
dc.contributor.author Musso, F.
dc.date.accessioned 2019-02-16T08:10:54Z
dc.date.available 2019-02-16T08:10:54Z
dc.date.issued 2007
dc.identifier.citation Quantum Deformations and Superintegrable Motions on Spaces with Variable Curvature / O. Ragnisco, Á. Ballesteros, F.J. Herranz, F. Musso // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 42 назв. — англ. uk_UA
dc.identifier.issn 1815-0659
dc.identifier.other 2000 Mathematics Subject Classification: 37J35; 17B37
dc.identifier.uri http://dspace.nbuv.gov.ua/handle/123456789/147788
dc.description.abstract An infinite family of quasi-maximally superintegrable Hamiltonians with a common set of (2N-3) integrals of the motion is introduced. The integrability properties of all these Hamiltonians are shown to be a consequence of a hidden non-standard quantum sl(2,R) Poisson coalgebra symmetry. As a concrete application, one of this Hamiltonians is shown to generate the geodesic motion on certain manifolds with a non-constant curvature that turns out to be a function of the deformation parameter z. Moreover, another Hamiltonian in this family is shown to generate geodesic motions on Riemannian and relativistic spaces all of whose sectional curvatures are constant and equal to the deformation parameter z. This approach can be generalized to arbitrary dimension by making use of coalgebra symmetry. uk_UA
dc.description.sponsorship This paper is a contribution to the Proceedings of the O’Raifeartaigh Symposium on Non-Perturbative and Symmetry Methods in Field Theory (June 22–24, 2006, Budapest, Hungary). This work was partially supported by the Ministerio de Educaci´on y Ciencia (Spain, Project FIS2004-07913), by the Junta de Castilla y Le´on (Spain, Project VA013C05), and by the INFN–CICyT (Italy–Spain). uk_UA
dc.language.iso en uk_UA
dc.publisher Інститут математики НАН України uk_UA
dc.relation.ispartof Symmetry, Integrability and Geometry: Methods and Applications
dc.title Quantum Deformations and Superintegrable Motions on Spaces with Variable Curvature uk_UA
dc.type Article uk_UA
dc.status published earlier uk_UA


Файли у цій статті

Ця стаття з'являється у наступних колекціях

Показати простий запис статті

Пошук


Розширений пошук

Перегляд

Мій обліковий запис