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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2017, Volume 105, Issue 1, Pages 34–37
DOI: https://doi.org/10.7868/S0370274X1701009X
(Mi jetpl5158)
 

This article is cited in 18 scientific papers (total in 18 papers)

METHODS OF THEORETICAL PHYSICS

Maslov index for power-law potentials

A. M. Ishkhanyanab, V. P. Krainovc

a Institute for Physical Research, National Academy of Sciences of Armenia, Ashtarak, Armenia
b Institute of Physics and Technology, National Research Tomsk Polytechnic University, Tomsk, Russia
c Moscow Institute of Physics and Technology (State University), Dolgoprudnyi, Moscow region, Russia
References:
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.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 3.679.2014/К
State Committee on Science of the Ministry of Education and Science of the Republic of Armenia 15Т-1С323
Проект "Ведущие исследовательские университеты России" FT_24_2016
Received: 07.11.2016
English version:
Journal of Experimental and Theoretical Physics Letters, 2017, Volume 105, Issue 1, Pages 43–46
DOI: https://doi.org/10.1134/S0021364017010106
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. M. Ishkhanyan, V. P. Krainov, “Maslov index for power-law potentials”, Pis'ma v Zh. Èksper. Teoret. Fiz., 105:1 (2017), 34–37; JETP Letters, 105:1 (2017), 43–46
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/jetpl/v105/i1/p34
  • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Письма в Журнал экспериментальной и теоретической физики Pis'ma v Zhurnal Иksperimental'noi i Teoreticheskoi Fiziki
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