Regular Article - Theoretical Physics
Geometry of the isotropic oscillator driven by the conformal mode
School of Physics, Tomsk Polytechnic University, Lenin Ave. 30, Tomsk, 634050, Russia
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Accepted: 16 January 2018
Published online: 25 January 2018
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.
© The Author(s), 2018