Invariants of the spherical sector in conformal mechanics

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 r...

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Veröffentlicht in:	Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2011-02, Vol.44 (5), p.055205-14
Hauptverfasser:	Hakobyan, Tigran, Lechtenfeld, Olaf, Nersessian, Armen, Saghatelian, Armen
Format:	Artikel
Sprache:	eng
Schlagworte:	Center of mass Constants Decoupling Exact sciences and technology Invariants Mathematical models Oscillators Physics
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Zusammenfassung:	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 A sub(3) Calogero model (describing four Calogero particles after decoupling their center of mass).
ISSN:	1751-8121 1751-8113 1751-8121
DOI:	10.1088/1751-8113/44/5/055205