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JOURNALS // Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki // Archive

Pis'ma v Zh. Èksper. Teoret. Fiz., 2017 Volume 105, Issue 1, Pages 34–37 (Mi jetpl5158)

This article is cited 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

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.

Received: 07.11.2016

DOI: 10.7868/S0370274X1701009X


 English version:
Journal of Experimental and Theoretical Physics Letters, 2017, 105:1, 43–46

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