18 citations · 78 across the 12 of their papers we have counts for
12 papers
Formalized procedure of transition to classical limit in application to the Dirac equation
Yuri A. Rylov
Classical model S{Dcl} of the Dirac particle S_D is constructed. S_D is the dynamic system described by the Dirac equation. For investigation of S_D and construction of S_{Dcl} one…
Dynamical methods of investigation in application to the Dirac particle
Yuri A. Rylov
The Dirac particle S_D is investigated by means of dynamic methods, i.e. without a use of the principles of quantum mechanics. It is shown that the Pauli particle S_P and the nonre…
Tubular geometry construction as a reason for new revision of the space-time conception
Yuri A. Rylov
The tubular geometry (T-geometry) is a generalization of the proper Euclidean geometry, founded on the property of sigma-immanence. The proper Euclidean geometry can be described c…
New crisis in geometry?
Yuri A. Rylov
The first crisis in the geometry arose in the beginning of XIXth century, when the mathematicians rejected the non-Euclidean geometry as a possible geometry of the real world. Now…
Is the Dirac particle completely relativistic?
Yuri A. Rylov
The Dirac particle, i.e. the dynamic system S_D, described by the free Dirac equation is investigated. Although the Dirac equation is written usually in the relativistically covari…
Deformation principle as foundation of physical geometry and its application to space-time geometry
Yuri A. Rylov
Physical geometry studies mutual disposition of geometrical objects and points in space, or space-time, which is described by the distance function d, or by the world function σ=d^…