Geometry of the isotropic oscillator driven by the conformal mode

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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 languageEnglish
Article number72
JournalEuropean Physical Journal C
Volume78
Issue number1
DOIs
Publication statusPublished - 1 Jan 2018

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ASJC Scopus subject areas

  • Engineering (miscellaneous)
  • Physics and Astronomy (miscellaneous)

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