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Oscillator with a centrifugal barrier

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

Abstract

We study the wave functions and energy levels of a one-dimensional oscillator with a centrifugal barrier of the form s(s+1)/x2. It is shown that a barrier of this kind automatically implies the point potential A(s)δ(x)/x. It is also shown that two different sets of even states are physically admissible, but that only one of these sets transforms continuously into the set of states of harmonic oscillator when the centrifugal barrier is allowed to vanish and is preferable for this reason.

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Authors and Affiliations

  1. M. V. Lomonosov State University, Moscow

    V. B. Gostev, V. S. Mineev & A. R. Frenkin

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

Translated from Izvestiya Vysshkh Uchebnykh Zavedenii, Fizika, No. 5, pp. 35–39, May, 1987.

The authors acknowledge useful discussions with B. M. Bolotovskii, B. A. Lysov, and O. A. Khrustalev.

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Gostev, V.B., Mineev, V.S. & Frenkin, A.R. Oscillator with a centrifugal barrier. Soviet Physics Journal 30, 388–391 (1987). https://doi.org/10.1007/BF00900087

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  • DOI: https://doi.org/10.1007/BF00900087

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