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035 | _a(RuTPU)RU\TPU\network\18490 | ||
090 | _a653105 | ||
100 | _a20170208a2017 k y0engy50 ba | ||
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 |
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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- |
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463 |
_tVol. 765 _v[P. 86-90] _d2017 |
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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 _3(RuTPU)RU\TPU\pers\27878 |
|
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 _2stltpush _3(RuTPU)RU\TPU\col\18727 |
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 _2stltpush _3(RuTPU)RU\TPU\col\21297 |
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 |