Maxwell-lagrange system in the theory of optical and magnetic resonances
Teoretičeskaâ i matematičeskaâ fizika, Tome 72 (1987) no. 2, pp. 244-254
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Quantum-mechanical approach is used to tackle the problem of interaction of
electromagnetic field with medium which is approximated by an ensemble of two-level
particles. A quantum-mechanical system of equations of motion is obtained for phenomena
of optical and magnetic resonance. This system has a classical analogue, the
system of Lagrange–Poisson equations. Propagation effects in the approach under
consideration are described by the nonlinear Maxwell–Lagrange system which can
be presented in the form of connected systems of linear equations of inverse scattering
theory. A hierarchy of nonlinear evolutionary equations is derived which includes
sine-Gordon, nonlinear Schrödinger and Korteveg–de Vries equations.
@article{TMF_1987_72_2_a7,
author = {E. I. Bogdanov},
title = {Maxwell-lagrange system in the theory of optical and magnetic resonances},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {244--254},
publisher = {mathdoc},
volume = {72},
number = {2},
year = {1987},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1987_72_2_a7/}
}
E. I. Bogdanov. Maxwell-lagrange system in the theory of optical and magnetic resonances. Teoretičeskaâ i matematičeskaâ fizika, Tome 72 (1987) no. 2, pp. 244-254. http://geodesic.mathdoc.fr/item/TMF_1987_72_2_a7/