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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2012 Volume 398, Pages 26–54 (Mi znsl5194)

This article is cited in 17 papers

Exactly solvable models of quantum nonlinear optics

N. M. Bogoliubov, P. P. Kulish

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia

Abstract: There are many models in quantum nonlinear optics which are exactly solvable and permit to describe physical phenomena beyand perturbation theory. It is pointed out that variety of these models can be solved in the framework of the quantum inverse scattering method.

Key words and phrases: quantum inverse scattering method, $R$-matrix, $q$-boson, nonlinear optics Dicke model.

UDC: 517.9

Received: 15.12.2011


 English version:
Journal of Mathematical Sciences (New York), 2013, 192:1, 14–30

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