On the quantisation of the angular momentum

TL;DR

This paper explores how the quantisation of angular momentum in a hydrogen-like atom, modeled as a two-dimensional multiply connected system, leads to half-integer values to match the Bohr model's energy spectrum.

Contribution

It demonstrates that considering the atom's configuration space as multiply connected results in half-integer angular momentum quantisation, offering a novel perspective on atomic spectra.

Findings

Angular momentum must be half-integer in this model.

Configuration space topology affects quantisation.

Results align with Bohr model energy spectrum.

Abstract

When a hydrogen-like atom is treated as a two dimensional system whose configuration space is multiply connected, then in order to obtain the same energy spectrum as in the Bohr model the angular momentum must be half-integral.