It is shown that the standard actions of relativistic point-like particles are adapted within the
corresponding interpretation to describe particle and antiparticle at the same time. The …

It is shown that models of elementary particles in classical general relativity (geons) will
naturally have the transformation properties of a spinor if the spacetime manifold is not time …

Peculiarities of symmetrical quantum systems are considered with the aid of the Mackey's
induced representations theory. The four-dimensional coordinate representation of the …

In relativity space-time is described by charts associating to each event four numbers (x 1, x
2, x 3, x 4)≡(x, t) referring to a position and a time. These charts are related to each other by …

[en] Canonical quantization of the Dirac particle in a gauge which allows to describe
massive as well as massless particles, is carried out in the D= 2n dimensional space-time …

We revise the problem of the quantization of relativistic particle models (spinless and
spinning), presenting a modified consistent canonical scheme. One of the main point of the …

A single-particle quantum formalism is constructed for spin-zero particles based upon state
functions and operators defined on a four-dimensional space-time manifold. This yields a …

A canonical formalism for the relativistic classical mechanics of many particles is proposed.
The evolution equations for a charged particle in an electromagnetic field are obtained and …

It is shown that a relativistic spin operator, obeying the required SU (2) commutation
relations, may bedefined in terms of the Pauli-Lubanski vectorW μ. In the case of Dirac …

A simple but non-trivial set of generators P µ and M µν of the Poincaré group is obtained in
terms of creation-and annihilation operators of particles. P 4 contains a cutoff from factor …