Abstract

ROZO-CLAVIJO, Mauricio. On the dynamics of a rotating particle using the concept of gauge invariance. Rev. acad. colomb. cienc. exact. fis. nat. [online]. 2016, vol.40, n.157, pp.585-589. ISSN 0370-3908.  https://doi.org/10.18257/raccefyn.394.

A description is performed on the dynamics of a particle in rotational motion, using a complex plane and similar procedures to those implemented in the construction of a local gauge theory. The analysis allows the description of the behavior of the particle, by requiring gauge invariance in its equation of position. Requiring gauge invariance leads to the addition of an extra term in the equation, which is interpreted as the angular velocity of the particle. From this analysis, the dynamical effects that determine the motion of the particle are obtained, which are equivalent to those obtained by describing the rotating system using polar coordinates. This kind of analysis is important since it presents a new method to obtain the equations that describe the dynamics of a particle in rotational motion.

Keywords : Teaching; Gauge invariance; Dynamic effects; Compensatory parameter; Gauge transformation.

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