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V M Red'kov

Publications and source records attributed to V M Red'kov.

2 recordsLinked to original sources

Generally relativistical Daffin-Kemmer formalis and behaviour of quantm-mechanical particle of spin 1 in the Abelian monopole field

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.

quant-ph

Measure of irregularity for Dirac, Schwinger, Wu-Yang's bases in the Abelian monopole theory and affecting of the gauge symmetry principle by allowance of singularity in physics

In the literature concerning the monopole matter, three gauges: Dirac, Schwinger, and Wu-Yang's, have been contrasted to each other, and the Wu-Yang's often appears as the most preferable one. The article aims to analyse this view by interpreting the monopole situation in terms of the conventioal Fourier series theory; in particular, having relied on the Dirichlet theorem. It is shown that the monopole case can be labelled as a very spesific and even rather simple class of problems in the frame of that theory: all the three monopole gauges amount to practicaly the same one-dimentional problem for functions given on the interval [0,pi] having a single point of discontinuity; these three vary only in its location.In addition, some general aspects of the Aharonov-Bohm effect are discussed; the way of how any singular potentials such as monopole's, being allowed in physics, touche the essence of the physical gauge principle itself is considered.

quant-ph