Eisenhart lift for higher derivative systems / A. V. Galajinsky, I. V. Masterov
Уровень набора: Physics Letters B = 1967-Язык: английский.Резюме или реферат: 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..Примечания о наличии в документе библиографии/указателя: [References.: p. 253 (24 tit.)].Тематика: электронный ресурс | труды учёных ТПУ | Higher derivative mechanics | Eisenhart lift Ресурсы он-лайн:Щелкните здесь для доступа в онлайн | Щелкните здесь для доступа в онлайнНет реальных экземпляров для этой записи
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[References.: p. 253 (24 tit.)]
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.
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