Invariants of the spherical sector in conformal mechanics

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  • Yerevan State University
  • Yerevan Physics Institute - Armenian Academy of Sciences
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Original languageEnglish
Article number055205
JournalJournal of Physics A: Mathematical and Theoretical
Volume44
Issue number5
Publication statusPublished - 4 Feb 2011

Abstract

A direct relation is established between the constants of motion for conformal mechanics and those for its spherical part. In this way, we find the complete set of functionally independent constants of motion for the so-called cuboctahedric Higgs oscillator, which is just the spherical part of the rational A3 Calogero model (describing four Calogero particles after decoupling their center of mass).

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Invariants of the spherical sector in conformal mechanics. / Hakobyan, Tigran; Lechtenfeld, Olaf; Nersessian, Armen et al.
In: Journal of Physics A: Mathematical and Theoretical, Vol. 44, No. 5, 055205, 04.02.2011.

Research output: Contribution to journalArticleResearchpeer review

Hakobyan, T, Lechtenfeld, O, Nersessian, A & Saghatelian, A 2011, 'Invariants of the spherical sector in conformal mechanics', Journal of Physics A: Mathematical and Theoretical, vol. 44, no. 5, 055205. https://doi.org/10.1088/1751-8113/44/5/055205
Hakobyan, T., Lechtenfeld, O., Nersessian, A., & Saghatelian, A. (2011). Invariants of the spherical sector in conformal mechanics. Journal of Physics A: Mathematical and Theoretical, 44(5), Article 055205. https://doi.org/10.1088/1751-8113/44/5/055205
Hakobyan T, Lechtenfeld O, Nersessian A, Saghatelian A. Invariants of the spherical sector in conformal mechanics. Journal of Physics A: Mathematical and Theoretical. 2011 Feb 4;44(5):055205. doi: 10.1088/1751-8113/44/5/055205
Hakobyan, Tigran ; Lechtenfeld, Olaf ; Nersessian, Armen et al. / Invariants of the spherical sector in conformal mechanics. In: Journal of Physics A: Mathematical and Theoretical. 2011 ; Vol. 44, No. 5.
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