Geometry of the isotropic oscillator driven by the conformal mode

Abstract

Geometrization of a Lagrangian conservative system typically amounts to reformulating its equations of motion as the geodesic equations in a properly chosen curved spacetime. The conventional methods include the Jacobi metric and the Eisenhart lift. In this work, a modification of the Eisenhart lift is proposed which describes the isotropic oscillator in arbitrary dimension driven by the one-dimensional conformal mode.

Original language	English
Article number	72
Journal	European Physical Journal C
Volume	78
Issue number	1
DOIs	https://doi.org/10.1140/epjc/s10052-018-5568-8
Publication status	Published - 1 Jan 2018

ASJC Scopus subject areas

Engineering (miscellaneous)
Physics and Astronomy (miscellaneous)

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