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102 _aUS
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181 0 _ai
182 0 _ab
200 1 _aDynamical realizations of l-conformal Newton–Hooke group
_fA. V. Galajinsky, I. V. Masterov
203 _aText
_celectronic
300 _aTitle screen
320 _a[References: p. 194-195 (24 tit.)]
330 _aThe method of nonlinear realizations and the technique previously developed in [A. Galajinsky, I. Masterov, Nucl. Phys. B 866 (2013) 212, arXiv:1208.1403] are used to construct a dynamical system without higher derivative terms, which holds invariant under the l-conformal Newton–Hooke group. A configuration space of the model involves coordinates, which parametrize a particle moving in d spatial dimensions and a conformal mode, which gives rise to an effective external field. The dynamical system describes a generalized multi-dimensional oscillator, which undergoes accelerated/decelerated motion in an ellipse in accord with evolution of the conformal mode. Higher derivative formulations are discussed as well. It is demonstrated that the multi-dimensional Pais–Uhlenbeck oscillator enjoys the View the MathML source-conformal Newton–Hooke symmetry for a particular choice of its frequencies.
333 _aРежим доступа: по договору с организацией-держателем ресурса
461 _tPhysics Letters B
_oParticle Physics, Nuclear Physics and Cosmology
463 _tVol. 723, № 1–3
_v[P. 190–195]
_d2013
610 1 _aэлектронный ресурс
610 1 _aтруды учёных ТПУ
610 1 _adynamical realizations of l-conformal Newton–Hooke group
610 1 _adynamical realizations
610 1 _apais–Uhlenbeck oscillator
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
_cassistant at Tomsk Polytechnic University
_f1987-
_gIvan Viktorovich
_2stltpush
_3(RuTPU)RU\TPU\pers\35458
801 2 _aRU
_b63413507
_c20160321
_gRCR
856 4 _uhttp://dx.doi.org/10.1016/j.physletb.2013.04.054
942 _cCF