Explicit solutions of the classical Calogero & Sutherland systems for any root system
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Accession number;05A0924115
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| Title;Explicit solutions of the classical Calogero & Sutherland systems for any root system |
| Author;
SASAKI R.
(Kyoto Univ., Kyoto, Jpn)
TAKASAKI K.
(Kyoto Univ., Kyoto, Jpn)
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Journal Title;YITP
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Journal Code:L0911B
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ISSN:
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VOL.;NO.05-60;PAGE.18P(2005)
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| Figure&Table&Reference;REF.22 |
| Pub. Country;Japan |
| Language;English |
| Abstract;Based on the universal Lax pair for the degenerate potentials, the method of Olshanetsky-Perelomov for the A type root systems is generalized. By this generalization, the Calogero and Sutherland systems on any root systems, containing the classical, exceptional and noncrystallographic root systems, are treated. By the diagonalization of matrices describing the time evolution, the explicit solutions of the classical Calogero (rational potential with or without harmonic confining potential) systems and the classical Sutherland (trigonometric potential) systems are derived. Also the solutions of the (rational and trigonometric) higher Hamiltonian flows in the integrable hierarchy can be obtained explicitly. |
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