Dynamical realization of l-conformal Galilei algebra and oscillators

被引：47

作者：

Galajinsky, Anton ^{[1
]}

Masterov, Ivan ^{[1
]}

机构：

[1] Tomsk Polytech Univ, Phys Math Lab, Tomsk 634050, Russia

来源：

NUCLEAR PHYSICS B | 2013年 / 866卷 / 02期

关键词：

Conformal Galilei algebra; INVARIANCE;

D O I：

10.1016/j.nuclphysb.2012.09.004

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

The method of nonlinear realizations is applied to the l-conformal Galilei algebra to construct a dynamical system without higher derivative terms in the equations of motion. A configuration space of the model involves coordinates, which parametrize particles in d spatial dimensions, and a conformal mode, which gives rise to an effective external field. It is shown that trajectories of the system can be mapped into those of a set of decoupled oscillators in d dimensions. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：212 / 227

页数：16

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