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| 001 | 660160 | ||
| 005 | 20231030041656.0 | ||
| 035 | _a(RuTPU)RU\TPU\network\29128 | ||
| 090 | _a660160 | ||
| 100 | _a20190429a2018 k y0engy50 ba | ||
| 101 | 0 | _aeng | |
| 135 | _adrcn ---uucaa | ||
| 181 | 0 | _ai | |
| 182 | 0 | _ab | |
| 200 | 1 |
_aA variant of Schwarzian mechanics _fA. V. Galajinsky |
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| 203 |
_aText _celectronic |
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| 300 | _aTitle screen | ||
| 320 | _a[References: 12 tit.] | ||
| 330 | _aThe Schwarzian derivative is invariant under -transformations and, as thus, any function of it can be used to determine the equation of motion or the Lagrangian density of a higher derivative -invariant 1d mechanics or the Schwarzian mechanics for short. In this note, we consider the simplest variant which results from setting the Schwarzian derivative to be equal to a dimensionful coupling constant. It is shown that the corresponding dynamical system in general undergoes stable evolution but for one fixed point solution which is only locally stable. Conserved charges associated with the -symmetry transformations are constructed and a Hamiltonian formulation reproducing them is proposed. An embedding of the Schwarzian mechanics into a larger dynamical system associated with the geodesics of a Brinkmann-like metric obeying the Einstein equations is constructed. | ||
| 461 | _tNuclear Physics B | ||
| 463 |
_tVol. 936 _v[Р. 661-667] _d2018 |
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| 610 | 1 | _aэлектронный ресурс | |
| 610 | 1 | _aтруды учёных ТПУ | |
| 610 | 1 | _aуравнение движения | |
| 610 | 1 | _aпроизводные | |
| 610 | 1 | _aпреобразования | |
| 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 |
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| 712 | 0 | 2 |
_aНациональный исследовательский Томский политехнический университет _bИсследовательская школа физики высокоэнергетических процессов _c(2017- ) _h8118 _2stltpush _3(RuTPU)RU\TPU\col\23551 |
| 801 | 2 |
_aRU _b63413507 _c20200124 _gRCR |
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| 856 | 4 | _uhttp://earchive.tpu.ru/handle/11683/57549 | |
| 856 | 4 | _uhttps://doi.org/10.1016/j.nuclphysb.2018.10.004 | |
| 942 | _cCF | ||