Maslov index for power-law potentials


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Resumo

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.

Sobre autores

A. Ishkhanyan

Institute for Physical Research; Institute of Physics and Technology

Email: vpkrainov@mail.ru
Armênia, Ashtarak, 0203; Tomsk, 634050

V. Krainov

Moscow Institute of Physics and Technology (State University)

Autor responsável pela correspondência
Email: vpkrainov@mail.ru
Rússia, Dolgoprudnyi, Moscow region, 141700

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