Comparison of Harmonic Oscillator Model in Classical and Quantum Theories of Light-Matter Interaction

Author:

Astapenko Valery1ORCID,Bergaliyev Timur1

Affiliation:

1. Moscow Institute of Physics and Technology, National Research University, Instituskii Per. 9, Dolgoprudnyi 141701, Russia

Abstract

A brief review of the classical and quantum description of the interaction of electromagnetic radiation with matter based on the model of a harmonic oscillator is presented. This review includes the generalized Bohr correspondence principle, the excitation of a quantum oscillator by electromagnetic pulses including saturation effect, the harmonic limit of the Bloch equations, and a phenomenological account of the damping of the quantum oscillator. In all cases, at the mathematical level, the relationship between the classical and quantum descriptions of the electromagnetic interaction is established and the conditions for such compliance are identified.

Funder

Ministry of Science and Higher Education of the Russian Federation

Publisher

MDPI AG

Subject

Applied Mathematics,General Mathematics

Reference27 articles.

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4. The theory of quantized fields;Schwinger;Phys. Rev.,1949

5. Landau, L.D., and Lifshitz, E.M. (1977). Quantum Mechanics, Pergamon Press.

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