Topological quantization of the harmonic oscillator
arXiv:math-ph/0612038
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.
Prepared for Proceedings of GP26