Geometry of the isotropic oscillator driven by the conformal mode
High Energy Physics - Theory
2018-03-14 v3 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1712.00742,
title = {Geometry of the isotropic oscillator driven by the conformal mode},
author = {Anton Galajinsky},
journal= {arXiv preprint arXiv:1712.00742},
year = {2018}
}
Comments
V3: 10 pages, presentation improved, the version to appear in Eur. Phys. J. C