Constrained Hamiltonian approach to the Maxwell theory

Dmitry S. Kulyabov; Anna V. Korolkova; Migran N. Gevorkyan; Leonid A. Sevastianov

doi:10.1117/12.2525535

3 June 2019 Constrained Hamiltonian approach to the Maxwell theory

Dmitry S. Kulyabov, Anna V. Korolkova, Migran N. Gevorkyan, Leonid A. Sevastianov

Proceedings Volume 11066, Saratov Fall Meeting 2018: Laser Physics, Photonic Technologies, and Molecular Modeling; 110660Q (2019) https://doi.org/10.1117/12.2525535
Event: International Symposium on Optics and Biophotonics VI: Saratov Fall Meeting 2018, 2018, Saratov, Russian Federation

Abstract

The most common physical formalisms are the Lagrangian formalism and the Hamiltonian formalism. From the superficial point of view, they are one and the same, but rewritten in other terms. However, it seems that the Hamiltonian formalism has a richer structure and is more convenient for studying the electromagnetic field, especially in the formalization of its geometrization. Unfortunately for field problems, there is a whole set of Hamiltonian formalisms. The authors study the applicability of different variants of the Hamiltonian formalism to the problems of electrodynamics. In this paper we consider the Hamiltonian formalism with constraints.

Citation Download Citation

Dmitry S. Kulyabov, Anna V. Korolkova, Migran N. Gevorkyan, and Leonid A. Sevastianov "Constrained Hamiltonian approach to the Maxwell theory", Proc. SPIE 11066, Saratov Fall Meeting 2018: Laser Physics, Photonic Technologies, and Molecular Modeling, 110660Q (3 June 2019); https://doi.org/10.1117/12.2525535

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