Dynamical realizations of l-conformal Newton–Hooke group; Physics Letters B; Vol. 723, № 1–3
| Источник: | Physics Letters B: Particle Physics, Nuclear Physics and Cosmology Vol. 723, № 1–3.— 2013.— [P. 190–195] |
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| Примечания: | 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 |
| Язык: | английский |
| Опубликовано: |
2013
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| Online-ссылка: | http://dx.doi.org/10.1016/j.physletb.2013.04.054 |
| Формат: | Электронный ресурс Статья |
| Запись в KOHA: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=640330 |