Dynamical realizations of l-conformal Newton–Hooke group

Dynamical realizations of l-conformal Newton–Hooke group

Bibliographic Details
Parent link:Physics Letters B: Particle Physics, Nuclear Physics and Cosmology
Vol. 723, № 1–3.— 2013.— [P. 190–195]
Main Author: Galajinsky A. V. Anton Vladimirovich
Other Authors: Masterov I. V. Ivan Viktorovich
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
Published: 2013
Subjects:
электронный ресурс
труды учёных ТПУ
dynamical realizations of l-conformal Newton–Hooke group
dynamical realizations
pais–Uhlenbeck oscillator
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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