Dynamical realizations of l-conformal Newton–Hooke group / A. V. Galajinsky, I. V. Masterov
Уровень набора: Physics Letters B, Particle Physics, Nuclear Physics and CosmologyЯзык: английский.Страна: .Резюме или реферат: 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..Примечания о наличии в документе библиографии/указателя: [References: p. 194-195 (24 tit.)].Аудитория: .Тематика: электронный ресурс | труды учёных ТПУ | dynamical realizations of l-conformal Newton–Hooke group | dynamical realizations | pais–Uhlenbeck oscillator Ресурсы он-лайн:Щелкните здесь для доступа в онлайнTitle screen
[References: p. 194-195 (24 tit.)]
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.
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