Eisenhart lift for higher derivative systems; Physics Letters B; Vol. 765

Eisenhart lift for higher derivative systems; Physics Letters B; Vol. 765

Bibliographic Details
Parent link:	Physics Letters B.— , 1967- Vol. 765.— 2017.— [P. 86-90]
Main Author:	Galajinsky A. V. Anton Vladimirovich
Corporate Authors:	Национальный исследовательский Томский политехнический университет (ТПУ) Физико-технический институт (ФТИ) Кафедра высшей математики и математической физики (ВММФ), Национальный исследовательский Томский политехнический университет (ТПУ) Физико-технический институт (ФТИ) Кафедра высшей математики и математической физики (ВММФ) Международная лаборатория математической физики (МЛМФ)
Other Authors:	Masterov I. V. Ivan Viktorovich
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
Subjects:	электронный ресурс труды учёных ТПУ Higher derivative mechanics Eisenhart lift
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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