Skip to main content
Log in

Topological part of the interaction of phonons with dislocations and disclinations

  • Published:
Theoretical and Mathematical Physics Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literature Cited

  1. A. A. Maradudin, “Localized vibration modes associated with screw dislocations,” in: Fundamental Aspects of Dislocation Theory. Nat. Bur. Stand. (U. S.), Spec. Publ. 317, Vol. 1 (1970), pp. 205–217.

  2. T. Ninomiya, “Eigenfrequencies in a dislocated crystal,” in: Fundamental Aspects of Dislocation Theory. Nat. Bur. Stand. (U. S.), Spec. Publ. 317, Vol. 1 (1970), pp. 315–356.

  3. K. Kawamura, Z. Phys. B,29, 101 (1978).

    Google Scholar 

  4. K. Kawamura, Z. Phys. B,30, 1 (1978).

    Google Scholar 

  5. R. A. Brown, J. Phys. F,9, L241 (1979).

    Google Scholar 

  6. Y. Irie and K. Kawamura, Prog. Theor. Phys.,70, 674 (1983).

    Google Scholar 

  7. C. Kittel, Introduction to Solid State Physics, 2nd ed., Wiley, New York (1956).

    Google Scholar 

  8. D. M. Bird and A. R. Preston, Phys. Rev. Lett.,61, 2863 (1989).

    Google Scholar 

  9. L. D. Landau and E. M. Lifshitz, Theory of Elasticity, 2nd ed., Pergamon Press, Oxford (1970).

    Google Scholar 

  10. C. Teodosiu, Elastic Models of Crystal Defects, Springer Verlag, Berlin (1987).

    Google Scholar 

  11. J. Friedel, Dislocations, Pergamon Press, Oxford (1964).

    Google Scholar 

  12. V. A. Likhachev and R. Khairov, Introduction to the Theory of Disclinations [in Russian], Leningrad State University (1975).

  13. B. A. Bilby, R. Bullough, and E. Smith, Proc. R. Soc. London, Ser. A,231, 263 (1955).

    Google Scholar 

  14. B. A. Dubrovin, S. P. Novikov, and A. T. Fomenko, Modern Geometry [in Russian], Mir, Moscow (1979).

    Google Scholar 

  15. A. Kadic and D. G. Edelen, Gauge Theory of Dislocations and Disclinations, Springer Verlag, Berlin (1983).

    Google Scholar 

  16. V. D. Skarzhinskii, The Aharonov-Bohm Effect: Theoretical Calculations and Interpretations, Tr. FIAN,167, 139 (1986).

    Google Scholar 

  17. S. Olariu and I. L. Popescu, Rev. Mod. Phys.,57, 339 (1985).

    Google Scholar 

  18. The Quantum Hall Effect [Russian translations], Mir, Moscow (1986).

  19. G. Bergmann, Phys. Rep.,107, 1 (1984).

    Google Scholar 

  20. M. V. Berry, Proc. R. Soc. London, Ser. A,392, 45 (1984).

    Google Scholar 

  21. G. E. Avron, A. Raveh, and B. Zur, Rev. Mod. Phys.,60, 873 (1988).

    Google Scholar 

  22. L. S. Schulman, J. Math. Phys.,12, 304 (1971).

    Google Scholar 

  23. E. M. Serebryanyi, Teor. Mat. Fiz.,64, 299 (1985).

    Google Scholar 

  24. E. M. Serebryany, V. P. Frolov, and V. D. Skarzhinsky, “On the electrodynamical effects in the gravitational field of a cosmic string,” in: Quantum Gravity (M. A. Markov, V. A. Berezin, and V. P. Frolov, eds.), World Sci. (1988), pp. 830–845.

  25. J. A. Reissland, The Theory of Sound, 2nd ed., Macmillan, London (1894, 1896); reprinted Dover, New York (1945).

    Google Scholar 

  26. A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev, Integrals and Series, Special Functions [in Russian], Nauka, Moscow (1983).

    Google Scholar 

  27. I. M. Lifshits and A. M. Kosevich, “Dynamics of crystal lattices with defects,” in: I. M. Lifshits, Selected Works. Physics of Real Crystals and Disordered Systems [in Russian], Nauka, Moscow (1987), pp. 142–176.

    Google Scholar 

  28. A. I. Baz', Ya. B. Zel'dovich, and A. M. Perelomov, Scattering, Reactions, and Decay in Nonrelativistic Quantum Mechanics, Jerusalem (1969).

  29. V. L. Ginzburg and V. N. Tsytovich, Transition Radiation and Transition Scattering [in Russian], Nauka, Moscow (1984).

    Google Scholar 

  30. L. D. Landau and E. M. Lifshitz, Quantum Electrodynamics [in Russian], Nauka, Moscow (1980).

    Google Scholar 

Download references

Authors

Additional information

Dnepropetrovsk State University. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 83, No. 3, pp. 428–446, June, 1990.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Serebryanyi, E.M. Topological part of the interaction of phonons with dislocations and disclinations. Theor Math Phys 83, 639–653 (1990). https://doi.org/10.1007/BF01018034

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01018034

Keywords

Navigation