Part 1 Introduction: parametric scattering; scattering by polaritons; four-photon scattering and non-linear spectroscopy; the basic concepts of statistical optics; multiphoton effects - a historic and bibliographic outline. Part 2 Some information on quantum mechanics and statistical physics: passing from a classical description to a quantum description; the Dirac notation and the geometric interpretation of quantum mechanics; the interaction representation and perturbation theory; fluctuation-dissipation theorems; relaxation and kinetic equations. Part 3 The principles of quantum optics: canonical variables of the electromagnetic field; quantization of the electromagnetic field; possible states of the field; photon and photoelectric statistics; the atom-quantized field interaction; Green's function and the quantization of the macroscopic field in a medium. Part 4 Thermal radiation in the linear approximation: the statistics of an equilibrium field in free space; fluctuations of a macroscopic field in matter; the thermal radiation of heated bodies; the generalized Kirchhoff law; the kinetic equation derivation of the generalized Kirchhoff's law; thermal radiation in the far field; interference of intensities. Part 5 The influence of the anharmonism of matter on thermal radiation: multiphoton transitions and the higher field moments; calculation of field moments by means of perturbation theory; the third moment of the thermal field; Kirchhoff's two-photon law. Part 6 Parametric scattering: the rate of biphoton generation; the integral intensity of parametric scattering; the form of the spectral line of parametric scattering; field statistics and the metrological applications of parametric scattering; parametric superluminescence; scattering by polarition. Part 7 Hyperparametric and raman scattering: nonresonance hyperparametric scattering; resonance hyperparametric scattering and raman scattering; the correlation of stokes and anti-stokes radiation in raman scattering; appendices.
D.N. Klyshko
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