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

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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. Ishkhanyan^ab, V. P. Krainov^c

^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

Full-text PDF (158 kB) Citations (18)

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DOI: https://doi.org/10.7868/S0370274X1701009X

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}

$V(x)=-V_0/x^s$ ,

x > 0

$x>0$ ,

0 < s < 2

$0<s<2$ . The result for the potential

V (x) = - V_{0} / x^{1 / 2}

$V(x)=-V_0/x^{1/2}$ 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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Linking options:

https://www.mathnet.ru/eng/jetpl5158

https://www.mathnet.ru/eng/jetpl/v105/i1/p34

This publication is cited in the following 18 articles:

A.M. Ishkhanyan, V.P. Krainov, Annals of Physics, 460 (2024), 169554
Pushkar Mohile, Ayaz Ahmed, T. R. Vishnu, Ramadevi Pichai, SciPost Phys. Core, 7:3 (2024)
A. M. Ghazaryan, A. M. Ishkhanyan, V. M. Red'kov, J. Contemp. Phys., 58:3 (2023), 212
A M Ishkhanyan, V P Krainov, Phys. Scr., 98:7 (2023), 075229
A. M. Ishkhanyan, V. P. Krainov, Sci Rep, 13:1 (2023)
J. Katriel, Am. J. Phys., 89:6 (2021), 557–558
V. V. Pupyshev, Phys. Part. Nuclei, 51:4 (2020), 470–473
T. A. Ishkhanyan, A. M. Ishkhanyan, IEEE Photonics Technol. Lett., 32:9 (2020), 507–509
A. M. Ishkhanyan, Z. Naturfors. Sect. A-J. Phys. Sci., 75:9 (2020), 771–779
A. M. Ishkhanyan, V. P. Krainov, Results Phys., 12 (2019), 1490–1491
V. A. Manukyan, T. A. Ishkhanyan, A. M. Ishkhanyan, Nonlinear Phenom. Complex Syst., 22:1 (2019), 84–92
T. A. Ishkhanyan, V. P. Krainov, A. M. Ishkhanyan, Z. Naturfors. Sect. A-J. Phys. Sci., 73:5 (2018), 407–414
A. M. Ishkhanyan, V. P. Krainov, J. Exp. Theor. Phys., 126:5 (2018), 633–635
T. A. Ishkhanyan, A. H. Harutyunyan, V. A. Manukyan, A. M. Ishkhanyan, J. Contemp. Phys.-Armen. Acad. Sci., 53:2 (2018), 105–111
T. A. Ishkhanyan, A. M. Manukyan, A. M. Ishkhanyan, XXV International Conference on Integrable Systems and Quantum Symmetries (ISQS-25), Journal of Physics Conference Series, 965, IOP Publishing Ltd, 2018, UNSP 012019
H. H. Azizbekyan, A. M. Manukyan, V. M. Mekhitarian, A. M. Ishkhanyan, J. Contemp. Phys.-Armen. Acad. Sci., 53:4 (2018), 279–285
T. A. Ishkhanyan, A. M. Ishkhanyan, Phys. Atom. Nuclei, 81:6 (2018), 869–873
Ishkhanyan A.M., Krainov V.P., Laser Phys. Lett., 14:7 (2017), 076001

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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