Exact solutions of wave equa-tions for particles with dipole polarizabilities in the field of a plane electromagnetic wave

  • Elena V. Vakulina Branch of the Bryansk State Academician I. G. Petrovski University, 9 Sovietskaya Street, Novozybkov 243020, Russia
  • Nikolay V. Maksimenko Francisk Skaryna Gomel State University, 104 Saveckaja Street, Gomel 246019, Belarus

Abstract

Based on the relativistic-invariant Lagrangian of the interaction of an electromagnetic field with a particle with po-larizabilities, which agrees with the low-energy Compton scattering theorem, covariant equations of motion of these particles in an electromagnetic field are obtained. Exact solutions of the relativistic wave equations of polarized particles of spin 0 and 1/2 in the field of a plane electromagnetic wave are obtained on the basis of first-order differential equations using the general covariant methods of F. I. Fedorov. When solving such a covariant equation for a spin 1/2 particle, the method based on the permutation relations of matrices and the theory of projective operators was used. When solving the covariant equation for spin zero particles in the framework of the Duffin – Kemmer – Petyu theory in the field of a plane electromagnetic wave, methods were used based on the introduction of a natural basis and the properties of the action of matrices in the space of wave functions. The solutions obtained can be used to calculate quantum electrodynamic processes of the interaction of particles in the field of a plane electromagnetic wave and to determine on this basis the polarizabilities of hadrons.

Author Biographies

Elena V. Vakulina, Branch of the Bryansk State Academician I. G. Petrovski University, 9 Sovietskaya Street, Novozybkov 243020, Russia

PhD (physics and mathematics); associate professor at the department of mathematics, physics and informatics

Nikolay V. Maksimenko, Francisk Skaryna Gomel State University, 104 Saveckaja Street, Gomel 246019, Belarus

doctor of science (physics and mathematics); professor at the department of theoretical physics, faculty of physics and information technologies

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Published
2019-02-10
Keywords: hadrons, polarizability, Lagrangian, Compton scattering
How to Cite
Vakulina, E. V., & Maksimenko, N. V. (2019). Exact solutions of wave equa-tions for particles with dipole polarizabilities in the field of a plane electromagnetic wave. Journal of the Belarusian State University. Physics, 1, 12-18. Retrieved from https://journals.bsu.by/index.php/physics/article/view/1378
Issue
No 1 (2019): Journal of the Belarusian State University. Physics
Section
Physics of Electromagnetic Phenomena

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