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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
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
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
Linking options:
https://www.mathnet.ru/eng/jetpl5158 https://www.mathnet.ru/eng/jetpl/v105/i1/p34
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Abstract page: | 275 | Full-text PDF : | 60 | References: | 48 | First page: | 18 |
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