The propagator of a spinning particle in an external Abelian field and in arbitrary dimensions
is presented by means of a path integral. The problem has distinct solutions in even and odd …

The constrained Hamiltonian systems admitting no gauge conditions are considered. The
methods for dealing with such systems are discussed and developed. As a concrete …

A pseudoclassical model is proposed for the description of planar P, T-invariant massive
fermions. The quantization of the model leads to the (2+ 1)-dimensional P, T-invariant …

A universal minimal spinor set of linear differential equations describing anyons and
ordinary integer and half-integer spin fields is constructed with the help of deformed …

A new spinning particle with a definite sign of the energy is defined on spacelike
hypersurfaces after a critical discussion of the standard spinning particles. It is the …

A pseudoclassical supersymmetric model to describe massive particles with higher spins
(integer and half-integer) in 2+ 1 dimensions is proposed. The quantization of the model …

We investigate hidden symmetries of a P, T-invariant system of topologically massive U (1)
gauge fields. For this purpose we propose a pseudoclassical model giving rise to this field …

We discuss the phenomenon of classical anomaly. It is observed for 3D Berezin-Marinov
(BM), Barducci-Casalbuoni-Lusanna (BCL) and Cortés-Plyushchay-Velázquez (CPV) …

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

A phenomenon of classical quantization is discussed. This is revealed in the class of
pseudoclassical gauge systems with nonlinear nilpotent constraints containing some free …