Geometry of the isotropic oscillator driven by the conformal mode

Research output: Contribution to journalArticle

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 journalArticle

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