Classical and quantum spherical pendulum

TL;DR

This paper advances the quantization of the spherical pendulum by applying geometric quantization to a classical system with monodromy, bridging classical and quantum descriptions.

Contribution

It is the first to apply geometric quantization to a classical system exhibiting monodromy, extending the Bohr-Sommerfeld approach to a full quantum theory.

Findings

Successful application of geometric quantization to the spherical pendulum

First quantum treatment of a system with classical monodromy

Bridging classical monodromy with quantum theory

Abstract

This paper extends the Bohr-Sommerfeld quantization of the spherical pendulum to a full quantum theory. This the first application of geometric quantization to a classical system with monodromy.