Year: 2020
Type: article
Abstract: A four-wave mixing Hamiltonian system on the classical as well as on the quantum level is investigated. In the classical case, if one assumes the frequency resonance condition of the form ω0 − ω1 + ω2 − ω3 = 0, this Hamiltonian system is integrated in quadratures, and the explicit formulas of solutions are presented. Under the same condition, the spectral decomposition of quantum Hamiltonian is found, and thus, the Heisenberg equation for this system is solved. Some applications of the obtained results in non-linear optics are discussed.
Source: Journal of Mathematical Physics
DOI: 10.1063/5.0006887
Authors: A. Odzijewicz, E. Wawreniuk
Institution: University of Białystok
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3009876053