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Inverse problem for the Schrödinger equation with a repulsive potential

  • Physics of Elementary Particles and Field Theory
  • Published:
Soviet Physics Journal Aims and scope

Abstract

We study the dependence of the repulsive potentials on the discrete spectral characteristics of the Schrödinger equation. The behavior of the regular solutions and the corrections to the potential for various changes to the spectrum are analyzed. It is shown that for a change in the number of bound states, the asymptotic correction to the potential is related to the period of classical vibrations in the field of the reference potential.

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Authors
  1. V. B. Gostev
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  2. A. R. Frenkin
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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 12–16, August, 1984.

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Gostev, V.B., Frenkin, A.R. Inverse problem for the Schrödinger equation with a repulsive potential. Soviet Physics Journal 27, 638–641 (1984). https://doi.org/10.1007/BF00893101

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  • DOI: https://doi.org/10.1007/BF00893101

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