Literature Cited
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.
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.
K. Kawamura, Z. Phys. B,29, 101 (1978).
K. Kawamura, Z. Phys. B,30, 1 (1978).
R. A. Brown, J. Phys. F,9, L241 (1979).
Y. Irie and K. Kawamura, Prog. Theor. Phys.,70, 674 (1983).
C. Kittel, Introduction to Solid State Physics, 2nd ed., Wiley, New York (1956).
D. M. Bird and A. R. Preston, Phys. Rev. Lett.,61, 2863 (1989).
L. D. Landau and E. M. Lifshitz, Theory of Elasticity, 2nd ed., Pergamon Press, Oxford (1970).
C. Teodosiu, Elastic Models of Crystal Defects, Springer Verlag, Berlin (1987).
J. Friedel, Dislocations, Pergamon Press, Oxford (1964).
V. A. Likhachev and R. Khairov, Introduction to the Theory of Disclinations [in Russian], Leningrad State University (1975).
B. A. Bilby, R. Bullough, and E. Smith, Proc. R. Soc. London, Ser. A,231, 263 (1955).
B. A. Dubrovin, S. P. Novikov, and A. T. Fomenko, Modern Geometry [in Russian], Mir, Moscow (1979).
A. Kadic and D. G. Edelen, Gauge Theory of Dislocations and Disclinations, Springer Verlag, Berlin (1983).
V. D. Skarzhinskii, The Aharonov-Bohm Effect: Theoretical Calculations and Interpretations, Tr. FIAN,167, 139 (1986).
S. Olariu and I. L. Popescu, Rev. Mod. Phys.,57, 339 (1985).
The Quantum Hall Effect [Russian translations], Mir, Moscow (1986).
G. Bergmann, Phys. Rep.,107, 1 (1984).
M. V. Berry, Proc. R. Soc. London, Ser. A,392, 45 (1984).
G. E. Avron, A. Raveh, and B. Zur, Rev. Mod. Phys.,60, 873 (1988).
L. S. Schulman, J. Math. Phys.,12, 304 (1971).
E. M. Serebryanyi, Teor. Mat. Fiz.,64, 299 (1985).
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.
J. A. Reissland, The Theory of Sound, 2nd ed., Macmillan, London (1894, 1896); reprinted Dover, New York (1945).
A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev, Integrals and Series, Special Functions [in Russian], Nauka, Moscow (1983).
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.
A. I. Baz', Ya. B. Zel'dovich, and A. M. Perelomov, Scattering, Reactions, and Decay in Nonrelativistic Quantum Mechanics, Jerusalem (1969).
V. L. Ginzburg and V. N. Tsytovich, Transition Radiation and Transition Scattering [in Russian], Nauka, Moscow (1984).
L. D. Landau and E. M. Lifshitz, Quantum Electrodynamics [in Russian], Nauka, Moscow (1980).
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Dnepropetrovsk State University. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 83, No. 3, pp. 428–446, June, 1990.
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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
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DOI: https://doi.org/10.1007/BF01018034