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101 0 _aeng
135 _adrcn ---uucaa
181 0 _ai
182 0 _ab
200 1 _aEisenhart lift for higher derivative systems
_fA. V. Galajinsky, I. V. Masterov
203 _aText
_celectronic
300 _aTitle screen
320 _a[References.: p. 253 (24 tit.)]
330 _aThe 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 _tPhysics Letters B
_d1967-
463 _tVol. 765
_v[P. 86-90]
_d2017
610 1 _aэлектронный ресурс
610 1 _aтруды учёных ТПУ
610 1 _aHigher derivative mechanics
610 1 _aEisenhart lift
700 1 _aGalajinsky
_bA. V.
_cDoctor 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)
_cProfessor of the TPU
_f1971-
_gAnton Vladimirovich
_2stltpush
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701 1 _aMasterov
_bI. V.
_cphysicist
_cresearch engineer, Senior Lecturer of Tomsk Polytechnic University, candidate of physico-mathematical Sciences
_f1987-
_gIvan Viktorovich
_2stltpush
_3(RuTPU)RU\TPU\pers\35458
712 0 2 _aНациональный исследовательский Томский политехнический университет (ТПУ)
_bФизико-технический институт (ФТИ)
_bКафедра высшей математики и математической физики (ВММФ)
_h139
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712 0 2 _aНациональный исследовательский Томский политехнический университет (ТПУ)
_bФизико-технический институт (ФТИ)
_bКафедра высшей математики и математической физики (ВММФ)
_bМеждународная лаборатория математической физики (МЛМФ)
_h2601
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801 2 _aRU
_b63413507
_c20170315
_gRCR
856 4 _uhttp://earchive.tpu.ru/handle/11683/37411
856 4 _uhttp://dx.doi.org/10.1016/j.physletb.2016.11.059
942 _cCF