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Theoretical Treatment of Nonstationary Scattering by Phonons and Polaritons Part I. Derivation of the Basic Equations
Author(s) -
Ponath H. E.,
Schubert M. W.
Publication year - 1976
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19764880603
Subject(s) - dissipative system , physics , polariton , correlation function (quantum field theory) , harmonic oscillator , fourier transform , quantum mechanics , scattering , operator (biology) , classical mechanics , dielectric , biochemistry , chemistry , repressor , transcription factor , optics , gene
The equations of motion of a two‐level system and a harmonic oscillator coupled to a dissipative system are discussed; the dissipative system is assumed to consist of a large number of radiation oscillators. Special equations for the determination of the correlation functions of the fluctuation forces are derived under the condition of large time values, for which the atomic system has “forgotten” its initial state. The expectation values of the correlation functions are connected with the damping constant and the population operator of the excited state of the atomic system is in thermal equilibrium. Taking into account the influence of the coherent radiation field on the atomic system, the basic equations for the treatment of the nonstationary Raman scattering by polaritons are derived; the temporal range of validity is discussed. Using a time‐dependent “variable” Fourier transformation, the nonstationary time‐ and spacedependent spectral densities are related to the correlation functions of the fields; here the Wiener‐Khintchine theorem is applied in a nonstationary form. The limiting cases of the stationary scattering process as well as the usually introduced correlators of the slowly varying amplitudes are discussed.