In this second edition of our book, we rewrote some sections and added new ones to some
chapters for better intelligibility, eg, the new Sect. 6.9 titled “Schwarzschild Original Solution …

In a previous paper we explicitly constructed a mapping that leads Dirac spinor fields to the
dual-helicity eigenspinors of the charge conjugation operator (ELKO spinor fields). ELKO …

Dirac operators play an important role in several domains of mathematics and physics, for
example: index theory, elliptic pseudodifferential operators, electromagnetism, particle …

Исследованы волновые уравнения элементарных частиц в присутствии внешних
гравитационных полей, описываемых как псевдориманова структура пространства …

This work deals with new classes of spinors of mass dimension 1 in Minkowski spacetime. In
order to accomplish it, Lounesto's classification scheme and the inversion theorem are going …

We present the theory, the experimental evidence and fundamental physical consequences
concerning the existence of families of undistorted progressive waves (UPWs) of arbitrary …

Almost all presentations of Dirac theory in first or second quantization in physics (and
mathematics) textbooks make use of covariant Dirac spinor fields. An exception is the …

Following the program of investigation of alternative spinor duals potentially applicable to
fermions beyond the standard model, we demonstrate explicitly the existence of several well …

In this paper, we consider a general twisted-curved space-time hosting Dirac spinors and we
take into account the Lorentz covariant polar decomposition of the Dirac spinor field: the …

Double coverings of the orthogonal groups of the real and complex spaces are considered.
The relation between discrete transformations of these spaces and fundamental …