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Quantum particle in a one-dimensional deformed lattice. Estimates of the gaps in the spectrum

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Literature Cited

  1. M. V. Romerio, J. Math. Phys.,12, 552 (1971).

    Google Scholar 

  2. M. Burnat and A. Palczewski, Bull. Acad. Pol. Sci. Ser. Sci. Math. Astron. Phys.,21, 917 (1973).

    Google Scholar 

  3. M. A. Shubin, Funkts. Analiz,9, 89 (1975).

    Google Scholar 

  4. E. D. Belokolos, Preprint ITF AN USSR-75-4R [in Russian], Kiev (1975).

  5. B. M. Levitan, Almost-Periodic Functions [in Russian], GITTL (1953).

  6. J. M. Ziman, Electrons and Phonons, Clarendon Press, Oxford.

  7. V. I. Smirnov, Course of higher Mathematics, Vol. 5 [in Russian], GIFML (1959).

  8. N. N. Bogolyubov, Yu. A. Mitropol'skii, and A. M. Samoilenko, Method of Accelerated Convergence in Nonlinear Mechanics [in Russian], Naukova Dumka, Kiev (1969).

    Google Scholar 

  9. I. M. Glazman, Direct Methods of Qualitative Spectral Analysis of Singular Differential Operators, Jerusalem (1965).

  10. E. I. Dinaburg and Ya. G. Sinai, Funkts. Analiz.,9, No. 4, 8 (1975).

    Google Scholar 

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Authors
  1. E. D. Belokolos
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Institute of Theoretical Physics, Academy of Sciences of the Ukrainian SSR. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 25, No. 3, pp. 344–357, December, 1975.

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Belokolos, E.D. Quantum particle in a one-dimensional deformed lattice. Estimates of the gaps in the spectrum. Theor Math Phys 25, 1176–1184 (1975). https://doi.org/10.1007/BF01040126

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  • DOI: https://doi.org/10.1007/BF01040126

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