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Investigation of one class of Bargman-type potentials

  • Physics Of Elementary Particles And Field Theory
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Russian Physics Journal Aims and scope

Abstract

For the spectral problem on the half-axis we derive an expression for the potential with N levels of discrete spectrum that are positioned in a previously determined fashion. We obtain wave functions for the discrete spectrum, Yost’s solution, and the continuous-spectrum functions. We show that the Yost function for this potential is a rational fractional function of the wave number k and, consequently, the potential itself is a potential of Bargman type.

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Authors
  1. B. F. Samsonov
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  2. L. A. Shekoyan
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Additional information

Tomsk University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 34–39, May, 1998.

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Samsonov, B.F., Shekoyan, L.A. Investigation of one class of Bargman-type potentials. Russ Phys J 41, 428–432 (1998). https://doi.org/10.1007/BF02766500

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  • DOI: https://doi.org/10.1007/BF02766500

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