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Topological quantization of the harmonic oscillator

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arxiv math-ph/0612038 v1 pith:A2JMJ25X submitted 2006-12-13 math-ph gr-qcmath.MP

Francisco Nettel , Hernando Quevedo This is my paper · ORCID
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keywords topologicalharmonicoscillatorquantizationspectrumaccordingalternativeapproach
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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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  1. Cosmic inflation in an extended non-commutative foliated quantum gravity: the wave function of the universe

    gr-qc 2024-11 reject novelty 5.0 of 10

    A non-commutative extension of branch-cut quantum gravity yields wave-function solutions whose oscillatory growth is interpreted as cosmic inflation and acceleration.

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