Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 5 (2009), 004, 8 pages      arXiv:0901.1644      https://doi.org/10.3842/SIGMA.2009.004
Contribution to the Proceedings of the XVIIth International Colloquium on Integrable Systems and Quantum Symmetries

Remarks on Multi-Dimensional Conformal Mechanics

Cestmír Burdík a and Armen Nersessian b, c
a) FNSPE, Czech Technical University in Prague Trojanova 13, 120 00 Prague 2, Czech Republic
b) Artsakh State University, 5 M. Gosh Str., Stepanakert, Armenia
c) Yerevan State University, 1 A. Manoogian Str., 0025, Yerevan, Armenia

Received October 30, 2008, in final form January 10, 2009; Published online January 12, 2009

Abstract
Recently, Galajinsky, Lechtenfeld and Polovnikov proposed an elegant group-theoretical transformation of the generic conformal-invariant mechanics to the free one. Considering the classical counterpart of this transformation, we relate this transformation with the Weil model of Lobachewsky space.

Key words: conformal mechanics; integrability.

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