Abstract
The Interchangeability of the Marsden-Weinstein reduction procedure and the Kostant-Souriau geometric quantization is studied by detailed examination of a concrete dynamical system-the so-called MIC-Kepler problem. It is proved that some stages of reduction plus geometric quantization technique produce the complete quantum spectrum of the system, while others give part of it or nothing.
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Mladenov, I.M. Reductions and quantization. Int J Theor Phys 28, 1255–1267 (1989). https://doi.org/10.1007/BF00669347
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DOI: https://doi.org/10.1007/BF00669347