Geometric quantization of the multidimensional Kepler problem |
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Authors: | I. Mladenov V. Tsanov |
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Affiliation: | Central Lab. of Biophysics, Bulg. Acad. of Sci., 1113 Sofia, Bulgaria;Inst. of Math., Bulg. Acad. of Sci., P.O.B. 373, 1090 Sofia, Bulgaria |
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Abstract: | The geometric quantization scheme of Czyz and Hess is applied to the (n - 1)-dimensional quadric in complex projective space. As the quadratic is the orbit manifold of the n-dimensional Kepler problem and the geodesic flow on the n-dimensional euclidean sphere, we thus obtain the quantum energy levels and their multiplicities for these Hamiltonian systems. |
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Keywords: | Geometric Quantization Kepler Problem 81 C 99 58 F 06 58 F 17 |
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