Email this article Maslov index for power-law potentials
- Authors: Ishkhanyan A.M.1,2, Krainov V.P.3
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Affiliations:
- Institute for Physical Research
- Institute of Physics and Technology
- Moscow Institute of Physics and Technology (State University)
- Issue: Vol 105, No 1 (2017)
- Pages: 43-46
- Section: Methods of Theoretical Physics
- URL: https://journals.rcsi.science/0021-3640/article/view/160034
- DOI: https://doi.org/10.1134/S0021364017010106
- ID: 160034
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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) = −V0/xs, x > 0, 0 < s < 2 The result for the potential V(x)=-V0/x1/2 is compared with the recently reported exact solution. The case of a spherically symmetric power-law potential is also considered.
About the authors
A. M. Ishkhanyan
Institute for Physical Research; Institute of Physics and Technology
Email: vpkrainov@mail.ru
Armenia, Ashtarak, 0203; Tomsk, 634050
V. P. Krainov
Moscow Institute of Physics and Technology (State University)
Author for correspondence.
Email: vpkrainov@mail.ru
Russian Federation, Dolgoprudnyi, Moscow region, 141700
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