2006/12/13 by Francisco Nettel, Hernando Quevedo, Nettel, Francisco +1
Mathematics · Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mathematical Physics (math-ph) #Mechanical and Optical Resonators #gr-qc #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.math-ph/0612038
Prepared for Proceedings of GP26
arxiv created 2006/12/13 · openalex publication_date 2006/12/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.