Reductions and quantization |
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| Authors: | Ivailo M. Mladenov |
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| Affiliation: | (1) International Centre for Theoretical Physics, Trieste, Italy;(2) Present address: Central Laboratory of Biophysics, Bulgarian Academy of Sciences, Block 21, 1113 Sofia, Bulgaria |
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| 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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