1998/12/02 by В. М. Редьков, V M Red'kov, Red'kov, V M · 1 citation
Physics and Astronomy · #FOS: Physical sciences #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Quantum and Classical Electrodynamics #Relativity and Gravitational Theory #quant-ph
paper · pdf · doi:10.48550/arxiv.quant-ph/9812007
17 pages, Latex209
arxiv created 1998/12/02 · openalex publication_date 1998/12/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
It is shown that the manner of introducing theinteraction between a spin 1 particle and external classical gravitational field can be successfully uni- fied with the approach that occurred with regard to a spin 1/2 particle and was first developed by Tetrode, Weyl, Fock, Ivanenko. On that way a general- ly relativistical Duffin-Kemmer equation is costructed. So, the manner of extending the flat space Dirac equation to general relativity case indicates clearly that the Lorentz group underlies equally both these theories. In other words, the Lorentz group retains its importance and significance at changing the Minkowski space model to an arbitrary curved space-time. In contrast to this, at generalizing the Proca formulation, we automatically destroy any relations to the Lorentz group, although the definition itself for a spin 1 particle as an elementary object was based on just this group. Such a gravity's sensitiveness to the fermion-boson division might appear rather strange and unattractive asymmetry, being subjected to the criticism. Moreover, just this feature has brought about a plenty of speculation on this matter. In any case, this peculiarity of particle-gravity field inter- action is recorded almost in every handbook. In the paper, on the base of the Duffin-Kemmer formalism developed, the problem of a vector particle in the Abelian monopole potential is considered.