95 citations · 804 across the 48 of their papers we have counts for
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On massless and spinless particles with varying speed
S. I. Kruglov
The wave equation for spin-0 massless particles with the Lorentz violating term leading to varying speed of particles is considered. This equation is represented as the first-order…
Modified wave equation for spinless particles and its solutions in an external magnetic field
S. I. Kruglov
The wave equation for spinless particles with the Lorentz violating term is considered. We formulate the third-order in derivatives wave equation leading to the modified dispersion…
Field theory of massive and massless vector particles in the Duffin - Kemmer - Petiau formalism
S. I. Kruglov
Field theory of massive and massless vector particles is considered in the first-order formalism. The Hamiltonian form of equations is obtained after the exclusion of non-dynamical…
Note on Dirac--Kähler massless fields
S. I. Kruglov
We obtain the canonical and symmetrical Belinfante energy-momentum tensors of Dirac--Kähler's fields. It is shown that the traces of the energy-momentum tensors are not equal to ze…
On generalized Born--Infeld electrodynamics
S. I. Kruglov
The generalized Born--Infeld electrodynamics with two parameters is investigated. In this model the propagation of a linearly polarized laser beam in the external transverse magnet…
Solutions of Podolsky's Electrodynamics Equation in the First-Order Formalism
S. I. Kruglov
The Podolsky generalized electrodynamics with higher derivatives is formulated in the first-order formalism. The first-order relativistic wave equation in the 20-dimensional matrix…
Quantization of bosonic fields with two mass and spin states
S. I. Kruglov
We investigate bosonic fields possessing two mass and spin states. The density matrix in the first order formalism is obtained. The quantization of fields in the first order formul…
Higher Derivative Scalar Field Theory in the First Order Formalism
S. I. Kruglov
The scalar field theory with higher derivatives is considered in the first order formalism. The field equation of the forth order describes scalar particles possessing two mass sta…
"Square Root" of the Proca Equation: Spin-3/2 Field Equation
S. I. Kruglov
New equations describing particles with spin 3/2 are derived. The non-local equation with the unique mass can be considered as "square root" of the Proca equation in the same sense…
Relativistic Wave Equation for Fields with Two Mass and Spin States
S. I. Kruglov
I suggest wave equations for the scalar, pseudoscalar, vector, and pseudovector fields with different masses for spin zero and one states. Tensor, matrix, and quaternion formulatio…
Trace Anomaly and Quantization of Maxwell's Theory on Non-Commutative Spaces
S. I. Kruglov
The canonical and symmetrical energy-momentum tensors and their non-zero traces in Maxwell's theory on non-commutative spaces have been found. Dirac's quantization of the theory un…
Maxwell's Theory on Non-Commutative Spaces and Quaternions
S. I. Kruglov
The Maxwell theory on non-commutative spaces has been considered. The non-linear equations of electromagnetic fields on non-commutative spaces were obtained in the compact spin-ten…
Pair Production and Vacuum Polarization of Arbitrary Spin Particles with EDM and AMM
S. I. Kruglov
The exact solutions of the wave equation for arbitrary spin particles with electric dipole and magnetic moments in the constant and uniform electromagnetic field were found. The di…
Dirac-Kähler Equation (Review)
S. I. Kruglov
Tensor and matrix formulations of Dirac-Kähler equation for massive and massless fields are considered. The equation matrices obtained are simple linear combinations of matrix elem…
Dirac-KÄhler Equation
S. I. Kruglov
Tensor, matrix and quaternion formulations of Dirac-Kähler equation for massive and massless fields are considered. The equation matrices obtained are simple linear combinations of…