The quantum Neumann model: refined semiclassical results

TL;DR

This paper advances the semiclassical analysis of the quantum Neumann model, achieving accurate matching with exact results across all parameter ranges by refining connection formulae at turning points.

Contribution

It provides a detailed extension of semiclassical methods into the deep quantum regime for the Neumann model, improving the accuracy of predictions.

Findings

Good agreement with exact results across parameter ranges

Refined connection formulae enhance semiclassical matching

Extended semiclassical analysis into deep quantum regime

Abstract

We extend the semiclassical study of the Neumann model down to the deep quantum regime. A detailed study of connection formulae at the turning points allows to get good matching with the exact results for the whole range of parameters.