Abstract

The scattering of resonant radiation on an excited atom is considered. It is shown that the scattering cross section calculated with the help of quantum theory of radiation is five times larger than the one calculated using semi-classical theory. The quantum theory predicts, in general, the change in internal quantum statistical properties of light due to the scattering processes on excited atoms.

Highlights

  • The quantum excited systems possess remarkable properties

  • It is shown that the scattering cross section calculated with the help of quantum theory of radiation is five times larger than the one calculated using semi-classical theory

  • Lamb [1] on the base of a semi classical theory of radiation which deals with classical electromagnetic field

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Summary

Introduction

The quantum excited systems possess remarkable properties. They manifest themselves most prominently in lasers and masers, which were created in the middle of the last century. Present work demonstrates insufficiency WeisskopffWigner’s method and Dyson’s method of summation Feynman’s ladder diagrams for the calculations the cross-sections of light scattering on resonant excited systems and failure of semi-classical theory of radiation. The second term of the right hand side of Equation (1) describes the non-coherent scattering processes with the medium changing initial quantum state (Compton scattering, Raman scattering and induced radiation of light). We stress once again that the coherent Heisenber-Kramers scattering and induced radiation of light are described by different scattering channels It means that if the scattering media consisted only of the non-excited atoms the first term of Equation (1) would describe the coherent Heisenberg-Kramers scattering while the second one would describe the diffusion scattering.

Principal Equations
Coherent Scattering Channel
Scattering on Non-Excited Atom
Non Coherent Scattering Channel
Semi-Classical Theory of Radiation
Bilinear Field Charasteristics
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