Planar systems admit quantum states that are neither bosons nor fermions, ie, whose
angular momentum is neither integer nor half-integer. After a discussion of some examples …

We propose a simple model for a free relativistic particle of fractional spin in 2+ 1
dimensions. Using the Hamiltonian formulation with the set of constraints, we introduce the …

A new pseudoclassical model is proposed for the description of the relativistic massive Dirac
particle. It is P-and T-noninvariant in the case of odd space-time dimensions. The …

The key equations of the symplectic Faddeev-Jackiw formalism are written in an alternative
way so that the inverse of the symplectic matrix is easily found. The nonlinear sigma model …

The nonrelativistic quantum-field-theoretic Lagrangian which describes an anyon system in
the presence of an electromagnetic field is identified. A nonminimal magnetic coupling to the …

We discuss a relativistic free particle with fractional spin in 2+ 1 dimensions, where the dual
spin components satisfy the canonical angular momentum algebra {Sμ, Sν}= ϵμνγSγ. It is …

We study the supersymmetric extension of the symplectic Faddeev–Jackiw quantum
formalism. The key equations are written in an alternative way, so that the inverse of the …

The minimal (reduced) and extended canonical formulations for (2+ 1)-dimensional
fractional spin particles are considered. We investigate the relationship between them …

The canonical and path-integral quantization of the non-Abelian higher-derivative Chem-
Simons model in three dimensions coupled to a matter field is constructed. The expression …

AU (1) gauge theory of a particle with arbitrary spin in three space-time dimensions is
introduced. All the spin-dependent effects are a consequence of a direct coupling of the …