Dynamical realizations of l-conformal Newton–Hooke group
| Parent link: | Physics Letters B: Particle Physics, Nuclear Physics and Cosmology Vol. 723, № 1–3.— 2013.— [P. 190–195] |
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| Main Author: | |
| Other Authors: | |
| Summary: | Title screen The 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. Режим доступа: по договору с организацией-держателем ресурса |
| Language: | English |
| Published: |
2013
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| Subjects: | |
| Online Access: | http://dx.doi.org/10.1016/j.physletb.2013.04.054 |
| Format: | Electronic Book Chapter |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=640330 |
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| 200 | 1 | |a Dynamical realizations of l-conformal Newton–Hooke group |f A. V. Galajinsky, I. V. Masterov | |
| 203 | |a Text |c electronic | ||
| 300 | |a Title screen | ||
| 320 | |a [References: p. 194-195 (24 tit.)] | ||
| 330 | |a The 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 | |a Режим доступа: по договору с организацией-держателем ресурса | ||
| 461 | |t Physics Letters B |o Particle Physics, Nuclear Physics and Cosmology | ||
| 463 | |t Vol. 723, № 1–3 |v [P. 190–195] |d 2013 | ||
| 610 | 1 | |a электронный ресурс | |
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| 610 | 1 | |a dynamical realizations of l-conformal Newton–Hooke group | |
| 610 | 1 | |a dynamical realizations | |
| 610 | 1 | |a pais–Uhlenbeck oscillator | |
| 700 | 1 | |a Galajinsky |b A. V. |c Doctor 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) |c Professor of the TPU |f 1971- |g Anton Vladimirovich |3 (RuTPU)RU\TPU\pers\27878 |9 12894 | |
| 701 | 1 | |a Masterov |b I. V. |c physicist |c research engineer, Senior Lecturer of Tomsk Polytechnic University, candidate of physico-mathematical Sciences |f 1987- |g Ivan Viktorovich |3 (RuTPU)RU\TPU\pers\35458 |9 18655 | |
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