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100 _a20221222a2021 k y0engy50 ba
101 0 _aeng
102 _aUS
135 _adrcn ---uucaa
181 0 _ai
182 0 _ab
200 1 _aCoupling-constant metamorphosis in SL(2,R)-invariant systems
_fI. V. Masterov, M. A. Masterova
203 _aText
_celectronic
300 _aTitle screen
320 _a[References: 41 tit.]
330 _aIt is shown that, if the energy in the Schwarzian mechanics (SM) is equal to the coupling constant in the de Alfaro-Fubini-Furlan (dAFF) model, there exists a link between these two systems. In particular, the equation of motion, sl(2,R)-symmetry transformations and the corresponding conserved charges of SM can be derived from those of dAFF model by applying a coordinate transformation of a special type, while the general solution of dAFF system maps to the velocity function of SM. It is also demonstrated that the Hamiltonian of SM can be obtained from the Hamiltonian of dAFF model by applying coupling-constant metamorphosis and the oxidation procedure.
333 _aРежим доступа: по договору с организацией-держателем ресурса
461 _tJournal of Geometry and Physics
_oScientific Journal
463 _tVol. 168
_v[104320, 10 p.]
_d2021
610 1 _aэлектронный ресурс
610 1 _aтруды учёных ТПУ
610 1 _aconformal mechanics
610 1 _acoupling-constant metamorphosis
610 1 _aschwarzian derivative
700 1 _aMasterov
_bI. V.
_gIvan Viktorovich
701 1 _aMasterova
_bM. A.
_cmathematician
_cLaboratory assistant of Tomsk Polytechnic University
_f1988-
_gMariya Alexandrovna
_2stltpush
_3(RuTPU)RU\TPU\pers\35495
712 0 2 _aНациональный исследовательский Томский политехнический университет
_bШкола базовой инженерной подготовки
_bОтделение математики и информатики
_h8031
_2stltpush
_3(RuTPU)RU\TPU\col\23555
801 2 _aRU
_b63413507
_c20221222
_gRCR
856 4 _uhttps://doi.org/10.1016/j.geomphys.2021.104320
942 _cCF