Eisenhart lift for higher derivative systems
| Parent link: | Physics Letters B.— , 1967- Vol. 765.— 2017.— [P. 86-90] |
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| Main Author: | |
| Corporate Authors: | , |
| Other Authors: | |
| Summary: | Title screen The Eisenhart lift provides an elegant geometric description of a dynamical system of second order in terms of null geodesics of the Brinkmann-type metric. In this work, we attempt to generalize the Eisenhart method so as to encompass higher derivative models. The analysis relies upon Ostrogradsky's Hamiltonian. A consistent geometric description seems feasible only for a particular class of potentials. The scheme is exemplified by the Pais–Uhlenbeck oscillator. |
| Language: | English |
| Published: |
2017
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| Subjects: | |
| Online Access: | http://earchive.tpu.ru/handle/11683/37411 http://dx.doi.org/10.1016/j.physletb.2016.11.059 |
| Format: | Electronic Book Chapter |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=653105 |
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| 200 | 1 | |a Eisenhart lift for higher derivative systems |f A. V. Galajinsky, I. V. Masterov | |
| 203 | |a Text |c electronic | ||
| 300 | |a Title screen | ||
| 320 | |a [References.: p. 253 (24 tit.)] | ||
| 330 | |a The Eisenhart lift provides an elegant geometric description of a dynamical system of second order in terms of null geodesics of the Brinkmann-type metric. In this work, we attempt to generalize the Eisenhart method so as to encompass higher derivative models. The analysis relies upon Ostrogradsky's Hamiltonian. A consistent geometric description seems feasible only for a particular class of potentials. The scheme is exemplified by the Pais–Uhlenbeck oscillator. | ||
| 461 | |t Physics Letters B |d 1967- | ||
| 463 | |t Vol. 765 |v [P. 86-90] |d 2017 | ||
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a труды учёных ТПУ | |
| 610 | 1 | |a Higher derivative mechanics | |
| 610 | 1 | |a Eisenhart lift | |
| 700 | 1 | |a Galajinsky |b A. V. |c Doctor of Physical and Mathematical Sciences, Tomsk Polytechnic University (TPU), Department of Higher Mathematics and Mathematical Physics of the Institute of Physics and Technology (HMMPD IPT) |c Professor of the TPU |f 1971- |g Anton Vladimirovich |3 (RuTPU)RU\TPU\pers\27878 |9 12894 | |
| 701 | 1 | |a Masterov |b I. V. |c physicist |c research engineer, Senior Lecturer of Tomsk Polytechnic University, candidate of physico-mathematical Sciences |f 1987- |g Ivan Viktorovich |3 (RuTPU)RU\TPU\pers\35458 |9 18655 | |
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| 856 | 4 | |u http://dx.doi.org/10.1016/j.physletb.2016.11.059 | |
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