Communications in Mathematical Physics

, Volume 132, Issue 2, pp 365–382 | Cite as

The large-time asymptotics of some wiener integrals and the interband light absorption coefficient in the deep fluctuation spectrum

  • W. Kirsch
  • L. A. Pastur


In this paper we prove the existence of the interband-light-absorption coefficient and investigate its asymptotics for a number of models.


Neural Network Statistical Physic Absorption Coefficient Complex System Nonlinear Dynamics 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Bonch-Bruevich, V.L., Enderlein, R., Esser, B., Kneiper, R., Mironov, A.G., Zuyagagin, I.P.: Elektronentheorie Ungeordneter Halbleiter. Berlin: Deutscher Verlag der Wissenschaften 1984Google Scholar
  2. 2.
    Efros, A.L., Shklowski, B.L.: Electronic properties of doped semiconductors. Berlin Heidelberg New York: Springer 1984Google Scholar
  3. 3.
    Lifshitz, I.M., Gredeskul, S.A., Pastur, L.A.: Introduction in the theory of disordered systems. Moskau: Nauka 1982 and New York: Wiley 1988Google Scholar
  4. 4.
    Arbuzov, Yu.D., Evdokimov, V.M., Kolenkin, M.Yu.: JETP92, 1351–1356 (1987)Google Scholar
  5. 5.
    Reed, M., Simon, B.: Methods of modern mathematical physics. IV. Analysis of operators. New York: Academic Press 1978Google Scholar
  6. 6.
    Simon, B.: Functional integration and quantum physics. New York: Academic Press 1979Google Scholar
  7. 7.
    Krengel, U.: Ergodic theorems. Berlin: de Gruyter 1985Google Scholar
  8. 8.
    Pastur, L.A.: Russ. Math. Surveys28, 1–67 (1973)Google Scholar
  9. 9.
    Gikhman, I.I., Skorokhod, A.V.: Introduction to the theory of random processes. Philadelphia: Saunders 1969Google Scholar
  10. 10.
    Kirsch, W., Martinelli, F.: J. Phys. A15, 2139–2156 (1982)Google Scholar
  11. 11.
    Kirsch, W.: Adv. Appl. Math.6, 177–187 (1985)Google Scholar
  12. 12.
    Bratelli, O.: Robinson, D.W.: Operator algebras and quantum statistical mechanics. II. Berlin Heidelberg New York: Springer 1981Google Scholar

Copyright information

© Springer-Verlag 1990

Authors and Affiliations

  • W. Kirsch
    • 1
  • L. A. Pastur
    • 2
  1. 1.Institut für MathematikRuhr-Universität BochumBochumGermany
  2. 2.Institute for Low Temperature Physics and EngeneeringAcademy of Sciences of the Ukrainian SSRKh'arkovUSSR

Personalised recommendations