Symulyk V. Relationships between spin 1 and 1/2 fields and their role in construction of quantum electrodynamics in the terms of field strengths.

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0500U000129

Applicant for

Specialization

  • 01.04.02 - Теоретична фізика

25-04-2000

Specialized Academic Board

Д 26.001.08

Taras Shevchenko National University of Kyiv

Essay

The relationships between Dirac spinor field and electromagnetic field in terms of field strengths: between the corresponding solutions, symmetries, conservation laws, Lagrangians, quantization, the hydrogen atom spectrum descriptions are investigated.. On this basis the exact analytical solution of the Maxwell equations with gradient-like class of currents and charges is obtained, new bosonic symmetries of the Dirac equation and fermionic symmetries of the Maxwell equations with electric and magnetic gradient-like sources are found, unexpected possibilities of microcausal Bose-quantization of massless spinor field and microcausal Fermi-quantization of electromagnetic-scalar field are proved, the class of first-order conservation laws (over derivatives) for free electromagnetic field is completely described, new Lagrangians for the electromagnetic field in field strengths terms are obtained, the classical electrodynamical model of relativistic atom is suggested. The results of 55 author's papers on the se questions are systemized.

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