Abstract:
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.
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