Topological quantization of the harmonic oscillator
classification
🧮 math-ph
gr-qcmath.MP
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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