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The spectrum and the scattering problem for the Schrödinger operator in a magnetic field

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Abstract

The main result of this paper is the proof of a nonexistence theorem for solutions with nonzero real singularities to the problem of scattering theory for the Schrödinger operator with magnetic and electric potentials.

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Authors and Affiliations

  1. Bashkyrtostan State University, Ufa, Russia

    Kh. Kh. Murtazin & A. N. Galimov

Authors
  1. Kh. Kh. Murtazin
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  2. A. N. Galimov
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Correspondence to Kh. Kh. Murtazin.

Additional information

Original Russian Text © Kh. Kh. Murtazin, A. N. Galimov, 2008, published in Matematicheskie Zametki, 2008, Vol. 83, No. 3, pp. 402–416.

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Murtazin, K.K., Galimov, A.N. The spectrum and the scattering problem for the Schrödinger operator in a magnetic field. Math Notes 83, 364–377 (2008). https://doi.org/10.1134/S0001434608030073

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  • DOI: https://doi.org/10.1134/S0001434608030073

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