Cestmír Burdík, Armen Nersessian, “Remarks on Multi-Dimensional Conformal Mechanics”, SIGMA, 2009, Volume 5,004, 8 pp.

This article is cited in 8 papers

Remarks on Multi-Dimensional Conformal Mechanics

Cestmír Burdík^a, Armen Nersessian^bc

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

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.

Keywords: conformal mechanics; integrability.

MSC: 70H33; 70H06

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

Language: English

DOI: 10.3842/SIGMA.2009.004