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New Lie-algebraic structures in nonlinear problems of quantum optics and laser physics

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Journal of Soviet Laser Research Aims and scope

Abstract

New Lie-algebraic structures (polynomial deformations of Lie algebras) are revealed in some problems of quantum optics and laser physics. Specifically, deformations of oscillator algebras due to extensions of unitary algebras by their symmetric and skew-symmetric tensors are shown to be algebras of dynamic symmetry (ADS) in models of n-photon processes with internal symmetries. Similarly, deformed algebras sud(2) are found as ADS in the context of generalized Dicke models and frequency conversion models. We also briefly discuss some possible schemes of employing the results to solving physical problems.

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Authors
  1. V. P. Karassiov
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Additional information

Based on materials of the Second International Wigner Symposium (Goslar, Germany, July 16–20, 1991) and the International Workshop “Squeezing, Groups, and Quantum Mechanics” (Baku, Azerbaijan, September 16–20, 1991).

Lebedev Physics Institute, Leninsky prospect 53, Moscow 117924, Russia. Published as Preprint No. 138 (1991) of the Lebedev Physics Institute (in English).

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Karassiov, V.P. New Lie-algebraic structures in nonlinear problems of quantum optics and laser physics. J Russ Laser Res 13, 188–195 (1992). https://doi.org/10.1007/BF01121107

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