Renormalised Effective Quantum Number for Centrally Symmetric Problems

TL;DR

This paper introduces a refined effective quantum number for centrally symmetric potentials, enhancing the semiclassical approach to better predict energy level ordering in quantum systems.

Contribution

It presents an improved variant of the semiclassical method to define a universal effective quantum number for symmetric potentials.

Findings

More accurate level ordering predictions.

Enhanced semiclassical approximation.

Universal applicability to symmetric potentials.

Abstract

The universal effective quantum number that determines the level ordering in arbitrary centrally symmetric potentials is defined more precisely by means of an improved variant of the semiclassical approach