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Proceedings Paper

Maxwell’s equations instantaneous Hamiltonian
Author(s): D. S. Kulyabov; A. V. Korolkova; L. A. Sevastianov; E. G. Eferina; T. R. Velieva; I. S. Zaryadov
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Paper Abstract

The Hamiltonian formalism is extremely elegant and convenient to mechanics problems. However, its application to the classical field theories is a difficult task. In fact, you can set one to one correspondence between the Lagrangian and Hamiltonian in the case of hyperregular Lagrangian. It is impossible to do the same in field theories. In the case of irregular Lagrangian the Dirac–Bergman Hamiltonian formalism with constraints is usually used, and this leads to a number of certain difficulties. The paper proposes a reformulation of the problem to the case of a field without sources. This allows to use a instantaneous (symplectic) Hamiltonian formalism.

Paper Details

Date Published: 14 April 2017
PDF: 9 pages
Proc. SPIE 10337, Saratov Fall Meeting 2016: Laser Physics and Photonics XVII; and Computational Biophysics and Analysis of Biomedical Data III, 103370L (14 April 2017); doi: 10.1117/12.2267938
Show Author Affiliations
D. S. Kulyabov, Peoples' Friendship Univ. of Russia (Russian Federation)
Joint Institute for Nuclear Research (Russian Federation)
A. V. Korolkova, Peoples' Friendship Univ. of Russia (Russian Federation)
L. A. Sevastianov, Peoples' Friendship Univ. of Russia (Russian Federation)
Joint Institute for Nuclear Research (Russian Federation)
E. G. Eferina, Peoples' Friendship Univ. of Russia (Russian Federation)
T. R. Velieva, Peoples' Friendship Univ. of Russia (Russian Federation)
I. S. Zaryadov, Peoples' Friendship Univ. of Russia (Russian Federation)


Published in SPIE Proceedings Vol. 10337:
Saratov Fall Meeting 2016: Laser Physics and Photonics XVII; and Computational Biophysics and Analysis of Biomedical Data III
Vladimir L. Derbov; Vladimir L. Derbov; Dmitry Engelevich Postnov; Dmitry Engelevich Postnov, Editor(s)

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