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Resonances of a hill operator, perturbed by an exponentially decreasing additive potential

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Literature cited

  1. N. E. Firsova, “The Riemann surface of a quasiimpulse, and scattering theory for a perturbed Hill operator,” J. Sov. Math.,11, No. 3 (1979).

  2. E. C. Titchmarsh, Eigenfunction Expansions Associated with Second-Order Differential Equations, Part II, Oxford Univ. Press, Oxford (1958).

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  3. N. E. Firsova, “A trace formula for a perturbed one-dimensional Schrödinger operator with a periodic potential. I,” Prob. Mat. Fiz., No. 7, 162–177 (1974).

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  4. V. A. Zheludev, “On the perturbations of the spectrum of a one-dimensional Schrödinger operator with a periodic potential,” Candidate's Dissertation, Leningrad (1968).

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Authors
  1. N. E. Firsova
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Additional information

Translated from Matematicheskie Zametki, Vol. 36, No. 5, pp. 711–724, November, 1984.

The author expresses his deep gratitude to M. Sh. Birman for guidance.

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Firsova, N.E. Resonances of a hill operator, perturbed by an exponentially decreasing additive potential. Mathematical Notes of the Academy of Sciences of the USSR 36, 854–861 (1984). https://doi.org/10.1007/BF01139933

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  • DOI: https://doi.org/10.1007/BF01139933

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