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Spectrum of the bloch electron in a magnetic field in a two-dimensional lattice

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Literature Cited

  1. M. L. Goldberger and F. Seitz, Phys. Rev.,71, 294 (1947).

    Google Scholar 

  2. Yu. N. Demkov and V. N. Ostrovskii, The Method of Zero-Range Potentials in Atomic Physics [in Russian], Leningrad State University (1975), p. 240.

  3. J. Zak, Phys. Rev.,134, 1602A (1964).

    Google Scholar 

  4. J. Zak, Phys. Rev.,136, 776A (1964).

    Google Scholar 

  5. J. Zak, Phys. Rev.,136, 164A (1964).

    Google Scholar 

  6. D. R. Hofstadter, Phys. Rev. B,14, 2239 (1976).

    Google Scholar 

  7. B. A. Dubrovin and S. P. Novikov, Zh. Eksp. Teor. Fiz.,79, 1006 (1980).

    Google Scholar 

  8. B. A. Dubrovin and S. P. Novikov, Dokl. Akad. Nauk SSSR,253, 1293 (1980).

    Google Scholar 

  9. S. P. Novikov, Dokl. Akad. Nauk SSSR,257, 538 (1981).

    Google Scholar 

  10. G. H. Wannier, J. Math. Phys.,21, 2844 (1980).

    Google Scholar 

  11. H. J. Schellnhuber and G. M. Obermair, Phys. Rev. Lett.,45, 276 (1980).

    Google Scholar 

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

  13. F. A. Berezin and L. D. Faddeev, Dokl. Akad. Nauk SSSR,137, 1011 (1961).

    Google Scholar 

  14. T. Kato, Perturbation Theory for Linear Operators, Springer, Berlin (1966).

    Google Scholar 

  15. V. V. Dodonov, I. A. Malkin, and V. I. Man'ko, Phys. Lett. A,15, 133 (1976).

    Google Scholar 

  16. A. Érdelyi et al., Higher Transcendental Functions, (California Institute of Technology H. Bateman M. S. Project), 3 vols., McGraw Hill, New York (1953, 1955).

    Google Scholar 

  17. E. M. Lifshitz and L. P. Pitaevskii, Statistical Physics, Part 2, [in Russian], Nauka, Moscow (1978), p. 448.

    Google Scholar 

  18. A. I. Markushevich, Theory of Analytic Functions, Vol. 2 [in Russian], Nauka, Moscow (1968), p. 624.

    Google Scholar 

  19. Y. Aharonov and A. Casher, Phys. Rev. A,19, 2461 (1979).

    Google Scholar 

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Authors
  1. V. A. Geiler
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  2. V. A. Margulis
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Additional information

Mordovian State University. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 58, No. 3, pp. 461–472, March, 1984.

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Geiler, V.A., Margulis, V.A. Spectrum of the bloch electron in a magnetic field in a two-dimensional lattice. Theor Math Phys 58, 302–310 (1984). https://doi.org/10.1007/BF01018053

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  • DOI: https://doi.org/10.1007/BF01018053

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