Topological quantization of the harmonic oscillator
Mathematical Physics
2007-05-23 v1 General Relativity and Quantum Cosmology
math.MP
Abstract
We present a derivation of the energy spectrum of the harmonic oscillator by using the alternative approach of topological quantization. The spectrum is derived from the topological invariants of a particular principal fiber bundle which can be assigned to any configuration of classical mechanics, when formulated according to Maupertuis formalism.
Cite
@article{arxiv.math-ph/0612038,
title = {Topological quantization of the harmonic oscillator},
author = {Francisco Nettel and Hernando Quevedo},
journal= {arXiv preprint arXiv:math-ph/0612038},
year = {2007}
}
Comments
Prepared for Proceedings of GP26