Runge-Lenz vector in the Calogero-Coulomb problem; Physical Review A; Vol. 92, iss. 2
| Parent link: | Physical Review A: Atomic, Molecular, and Optical Physics.— , 1970- Vol. 92, iss. 2.— 2015.— [022111, 6 p.] |
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| Sumari: | Title screen We construct the Runge-Lenz vector and the symmetry algebra of the rational Calogero-Coulomb problem using the Dunkl operators. We reveal that they are proper deformations of their Coulomb counterpart. Together with similar correspondence between the Calogero oscillator and oscillator models, this observation permits the claim that most of the properties of the Coulomb and oscillator systems can be lifted to their Calogero-extended analogs by the proper replacement of the momenta by the Dunkl momenta operators. Режим доступа: по договору с организацией-держателем ресурса |
| Idioma: | anglès |
| Publicat: |
2015
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| Accés en línia: | http://dx.doi.org/10.1103/PhysRevA.92.022111 |
| Format: | Electrònic Capítol de llibre |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=644281 |
| Sumari: | Title screen We construct the Runge-Lenz vector and the symmetry algebra of the rational Calogero-Coulomb problem using the Dunkl operators. We reveal that they are proper deformations of their Coulomb counterpart. Together with similar correspondence between the Calogero oscillator and oscillator models, this observation permits the claim that most of the properties of the Coulomb and oscillator systems can be lifted to their Calogero-extended analogs by the proper replacement of the momenta by the Dunkl momenta operators. Режим доступа: по договору с организацией-держателем ресурса |
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| DOI: | 10.1103/PhysRevA.92.022111 |