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Teoreticheskaya i Matematicheskaya Fizika, 1987, Volume 72, Number 2, Pages 244–254
(Mi tmf5326)
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This article is cited in 2 scientific papers (total in 2 papers)
Maxwell-lagrange system in the theory of optical and magnetic resonances
E. I. Bogdanov
Abstract:
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.
Received: 10.03.1986
Citation:
E. I. Bogdanov, “Maxwell-lagrange system in the theory of optical and magnetic resonances”, TMF, 72:2 (1987), 244–254; Theoret. and Math. Phys., 72:2 (1987), 853–861
Linking options:
https://www.mathnet.ru/eng/tmf5326 https://www.mathnet.ru/eng/tmf/v72/i2/p244
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Abstract page: | 310 | Full-text PDF : | 111 | References: | 46 | First page: | 1 |
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