Stochastic models of intermediate state interaction in second order optical processes

  • Ryogo Kubo
  • Toshihide Takagahara
  • Eiichi Hanamura
Light Scattering
Part of the Lecture Notes in Physics book series (LNP, volume 57)


The stochastic theory of spectral line shape as developed by one of the present authors is here extended to the problem of intermediate state interaction in a second order optical process. Depending on the stochastic nature of the interaction, the process may appear as a pure Raman process, or a luminescent process, or a mixed process. Simple but standard models are 1) the adiabatic random modulation and 2) the off-diagonal random modulation of the intermediate states. Limiting cases of slow and fast modulation are discussed in a general way. Some model calculations are made in order to see how a spectrum changes its nature from one limit to another.


Order Process Fast Modulation Slow Modulation Stochastic Theory Incident Photon Energy 
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  1. 1)a.
    V. Hizhnyakov and I. Tehver: Phys. Stat. sol. 21 (1967) 755; ibid. 29 (1970) 67. D. L. Huber: Phys. Rev. 170 (1968) 418; ibid. 178 (1969) 93.Google Scholar
  2. 1)b.
    M. V. Klein: Phys. Rev. B8 (1973) 919.Google Scholar
  3. 1)c.
    Y. R. Shen: Phys. Rev. B9 (1974) 622.Google Scholar
  4. 1)d.
    S. E. Schwartz: Phys. Rev. 11 (1975) 1121.Google Scholar
  5. 1)e.
    J. R. Solin and H. Merkelo: Phys. Rev. B12 (1975) 624.Google Scholar
  6. 1)f.
    D. L. Rousseau, G. D. Patterson and P. F. Williams: Phys. Rev. Letters 34 (1975) 1306.Google Scholar
  7. 1)f.
    S. Mukamel, A. Ben-Reuven and J. Jortner: Phys. Rev. A12 (1975) 947, and many other papers on related subjects.Google Scholar
  8. 2).
    R. Kubo: in Stochastic Processes in Chemical Physics, Adv. Chem. Phys. Vol. XV, ed. Kurt E. Shuler, (John Wiley & Sons, N. Y., 1969) p.101.Google Scholar
  9. 3).
    R. Kubo: in Fluctuation, Relaxation and Resonance in Magnetic Systems, ed. D. ter Haar, (Oliver and Boyd, Edinburgh, 1962) p.23.Google Scholar
  10. 4)a.
    P. W. Anderson: J. Phys.Soc. Japan 9 (1954) 316.Google Scholar
  11. 4)b.
    R. Kubo: ibid. 9 (1954) 1 63Google Scholar
  12. 5).
    R. Kubo: J. Phys. Soc. Japan, 26 Supplement (1969) 1.Google Scholar

Copyright information

© Springer-Verlag 1976

Authors and Affiliations

  • Ryogo Kubo
    • 1
  • Toshihide Takagahara
    • 1
  • Eiichi Hanamura
    • 2
  1. 1.Department of PhysicsUniversity of TokyoTokyoJapan
  2. 2.Institute for Solid State PhysicsUniversity of TokyoTokyoJapan

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