# Maslov index for power-law potentials

## TL;DR

This paper calculates the Maslov index for one-dimensional power-law potentials in semiclassical quantization, compares it with exact solutions for the inverse square root case, and extends the analysis to spherically symmetric potentials.

## Contribution

It provides a new calculation of the Maslov index for power-law potentials and compares it with exact solutions, extending the analysis to spherically symmetric cases.

## Key findings

- Maslov index calculated for inverse square root potential
- Comparison with exact solutions confirms the validity
- Extension to spherically symmetric potentials included

## 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.

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Source: https://tomesphere.com/paper/1703.08449