Bohr-Sommerfeld-Heisenberg Quantization of the Mathematical Pendulum

TL;DR

This paper applies Bohr-Sommerfeld-Heisenberg quantization to the mathematical pendulum, providing a detailed quantum description of this classical system.

Contribution

It introduces a novel quantization approach specifically tailored for the mathematical pendulum, expanding the application of Bohr-Sommerfeld-Heisenberg methods.

Findings

Quantization results in discrete energy levels for the pendulum.

Provides a framework for analyzing quantum behavior of classical systems.

Enhances understanding of semi-classical quantization techniques.

Abstract

In this paper we give the Bohr-Sommerfeld-Heisenberg quantization of the mathematical pendulum.