13,926 research outputs found
Skinner-Rusk approach to time-dependent mechanics
The geometric approach to autonomous classical mechanical systems in terms of
a canonical first-order system on the Whitney sum of the tangent and cotangent
bundle, developed by R. Skinner and R. Rusk, is extended to the time-dependent
framework
Anyons as spinning particles
A model-independent formulation of anyons as spinning particles is presented.
The general properties of the classical theory of (2+1)-dimensional
relativistic fractional spin particles and some properties of their quantum
theory are investigated. The relationship between all the known approaches to
anyons as spinning particles is established. Some widespread misleading notions
on the general properties of (2+1)-dimensional anyons are removed.Comment: 29 pages, LaTeX, a few corrections and references added; to appear in
Int. J. Mod. Phys.
Linear Differential Equations for a Fractional Spin Field
The vector system of linear differential equations for a field with arbitrary
fractional spin is proposed using infinite-dimensional half-bounded unitary
representations of the group. In the case of
-dimensional nonunitary representations of that group, ,
they are transformed into equations for spin- fields. A local gauge symmetry
associated to the vector system of equations is identified and the simplest
gauge invariant field action, leading to these equations, is constructed.Comment: 15 pages, LATEX, revised version of the preprint DFTUZ/92/24 (to be
published in J. Math. Phys.
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