2004/10/07 by Yuri A. Rylov, Rylov, Yuri A. · 2 citations
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #FOS: Physical sciences #General Physics (physics.gen-ph) #Quantum Mechanics and Applications #Relativity and Gravitational Theory #physics.gen-ph
paper · pdf · doi:10.48550/arxiv.physics/0410045
40 pages, 4 figures, correction of a mistake
openalex publication_date 2004/10/07 · arxiv created 2004/10/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Classical model SDcl of the Dirac particle SD is constructed. SD is the dynamic system described by the Dirac equation. For investigation of SD and construction of SDcl one uses a new dynamic method: dynamic disquantization. This relativistic purely dynamic procedure does not use principles of quantum mechanics. The obtained classical analog SDcl is described by a system of ordinary differential equations, containing the quantum constant ℏ as a parameter. Dynamic equations for SDcl are determined by the Dirac equation uniquely. The dynamic system SDcl has ten degrees of freedom and cannot be a pointlike particle, because it has an internal structure. There are two ways of interpretation of the dynamic system SDcl: (1) dynamical interpretation and (2) geometrical interpretation. In the dynamical interpretation the classical Dirac particle SDcl is a two-particle structure (special case of a relativistic rotator). It explains freely such properties of SD as spin and magnetic moment, which are strange for pointlike structure. In the geometrical interpretation the world tube of SDcl is a ''two-dimensional broken band'', consisting of similar segments. These segments are parallelograms (or triangles), but not the straight line segments as in the case of a structureless particle. Geometrical interpretation of the classical Dirac particle SDcl generates a new approach to the elementary particle theory.