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Resonant Multiphoton Interactions and the Generalized Two-Level System

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Abstract

This chapter is devoted to the theory of resonant multi-photon interactions of light with molecules of matter. It presents a classification of resonant inter-actions, as well as a heuristic approach that demonstrates a possible way of simplifying the equations that govern the variation of the density matrix. The Bogolyubov method for deriving truncated equations and evaluating the polarization of matter is treated in detail. The effective operators, namely, the averaged Hamiltonian and the generalized dipole moment determine the behavior of the density matrix and also the molecular polarization. An obvious pictorial relation between the operators is established. The theory thus constructed allows one to reduce the task of analyzing complex multi-photon interactions of fields with matter to a much simpler problem that involves single-photon resonant interactions.

Keywords

Density Matrix Resonance Condition Stimulate Raman Scattering Resonant Interaction Stark Shift 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1989

Authors and Affiliations

  1. 1.Institute of Radioengineering and ElectronicsAcademy of Sciences of the USSRMoscowUSSR
  2. 2.BrooklynUSA
  3. 3.Department of Electrical EngineeringJohn Hopkins UniversityBaltimoreUSA
  4. 4.Institute of Applied PhysicsAcademy of Sciences of the USSRGorkiiUSSR

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