Maslov index for power-law potentials

Abstract

The Maslov index in the semiclassical Bohr-Sommerfeld quantization rule is calculated for one-dimensional power-law potentials. The result for the inverse square root potential is compared with the recently reported exact solution. The case of a spherically symmetric power-law potential is also considered.

References in corpus (1)

• Exact solution of the Schrödinger equation for the inverse square root potential $V_0/\sqrt{x}$

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