Geometry of the isotropic oscillator driven by the conformal mode

Anton Galajinsky

Research output: Contribution to journal › Article

3 Citations (Scopus)

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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oscillators
Geometry
geometry
Equations of motion
equations of motion

ASJC Scopus subject areas

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

Cite this

Geometry of the isotropic oscillator driven by the conformal mode. / Galajinsky, Anton.

In: European Physical Journal C, Vol. 78, No. 1, 72, 01.01.2018.

Research output: Contribution to journal › Article

Galajinsky, A 2018, 'Geometry of the isotropic oscillator driven by the conformal mode', European Physical Journal C, vol. 78, no. 1, 72. https://doi.org/10.1140/epjc/s10052-018-5568-8
Galajinsky A. Geometry of the isotropic oscillator driven by the conformal mode. European Physical Journal C. 2018 Jan 1;78(1). 72. https://doi.org/10.1140/epjc/s10052-018-5568-8
Galajinsky, Anton. / Geometry of the isotropic oscillator driven by the conformal mode. In: European Physical Journal C. 2018 ; Vol. 78, No. 1.
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