Topological quantization of the harmonic oscillator

Details Topological quantization of the harmonic oscillator Topological quantization of the harmonic oscillator

2006-12-13

arxiv.org/abs/math-ph/0612038v1

Physics

Mathematical Physics

Prepared for Proceedings of GP26

Scientific paper

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.

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