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Maslov index for power-law potentials

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Abstract

The Maslov index in the semiclassical Bohr–Sommerfeld quantization rule is calculated for one-dimensional power-law potentials V (x) = −V 0/x s, x > 0, 0 < s < 2 The result for the potential V(x)=-V 0/x 1/2 is compared with the recently reported exact solution. The case of a spherically symmetric power-law potential is also considered.

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Author information

Authors and Affiliations

  1. Institute for Physical Research, National Academy of Sciences of Armenia, Ashtarak, 0203, Armenia

    A. M. Ishkhanyan

  2. Institute of Physics and Technology, National Research Tomsk Polytechnic University, Tomsk, 634050, Russia

    A. M. Ishkhanyan

  3. Moscow Institute of Physics and Technology (State University), Dolgoprudnyi, Moscow region, 141700, Russia

    V. P. Krainov

Authors
  1. A. M. Ishkhanyan
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  2. V. P. Krainov
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Corresponding author

Correspondence to V. P. Krainov.

Additional information

Original Russian Text © A.M. Ishkhanyan, V.P. Krainov, 2017, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2017, Vol. 105, No. 1, pp. 34–37.

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Ishkhanyan, A.M., Krainov, V.P. Maslov index for power-law potentials. Jetp Lett. 105, 43–46 (2017). https://doi.org/10.1134/S0021364017010106

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  • DOI: https://doi.org/10.1134/S0021364017010106

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