Bohr-Sommerfeld-Heisenberg Quantization of the 2-dimensional Harmonic Oscillator

2012/07/05 by Richard Cushman, Cushman, Richard, Jędrzej Śniatycki +1 · 1 citation
Physics and Astronomy · #81S10 #Cold Atom Physics and Bose-Einstein Condensates #Differential Geometry (math.DG) #FOS: Mathematics #Quantum Mechanics and Non-Hermitian Physics #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.1207.1477

openalex publication_date 2012/07/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study geometric quantization of the harmonic oscillator in terms of a singular real polarization given by fibres of the energy momentum map.

Cited by

• Bohr-Sommerfeld-Heisenberg Theory in Geometric Quantization

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