Runge-Lenz vector in the Calogero-Coulomb problem / T. S. Akopyan (Hakobyan), A. P. Nersessian
Уровень набора: Physical Review A, Atomic, Molecular, and Optical Physics, Scientific Journal = 1970-Язык: английский.Страна: .Резюме или реферат: 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..Примечания о наличии в документе библиографии/указателя: [References: 25 tit.].Аудитория: .Тематика: электронный ресурс | труды учёных ТПУ Ресурсы он-лайн:Щелкните здесь для доступа в онлайнНет реальных экземпляров для этой записи
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[References: 25 tit.]
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.
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