Geometry of the isotropic oscillator driven by the conformal mode
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 Eisen...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2018-01-01
|
| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-018-5568-8 |
| _version_ | 1818452163213393920 |
|---|---|
| author | Anton Galajinsky |
| author_facet | Anton Galajinsky |
| author_sort | Anton Galajinsky |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-14T21:18:43Z |
| format | Article |
| id | doaj.art-c33b6ab88cb545de8077dac8c270d7c4 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-14T21:18:43Z |
| publishDate | 2018-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-c33b6ab88cb545de8077dac8c270d7c42022-12-21T22:47:00ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522018-01-017811610.1140/epjc/s10052-018-5568-8Geometry of the isotropic oscillator driven by the conformal modeAnton Galajinsky0School of Physics, Tomsk Polytechnic UniversityAbstract 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.http://link.springer.com/article/10.1140/epjc/s10052-018-5568-8 |
| spellingShingle | Anton Galajinsky Geometry of the isotropic oscillator driven by the conformal mode European Physical Journal C: Particles and Fields |
| title | Geometry of the isotropic oscillator driven by the conformal mode |
| title_full | Geometry of the isotropic oscillator driven by the conformal mode |
| title_fullStr | Geometry of the isotropic oscillator driven by the conformal mode |
| title_full_unstemmed | Geometry of the isotropic oscillator driven by the conformal mode |
| title_short | Geometry of the isotropic oscillator driven by the conformal mode |
| title_sort | geometry of the isotropic oscillator driven by the conformal mode |
| url | http://link.springer.com/article/10.1140/epjc/s10052-018-5568-8 |
| work_keys_str_mv | AT antongalajinsky geometryoftheisotropicoscillatordrivenbytheconformalmode |