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Geometric quantization of the multidimensional Kepler problem

✍ Scribed by I. Mladenov; V. Tsanov

Publisher: Elsevier Science
Year: 1985
Tongue: English
Weight: 316 KB
Volume: 2
Category: Article
ISSN: 0393-0440
DOI: 10.1016/0393-0440(85)90016-6

No coin nor oath required. For personal study only.

✦ Synopsis

The geometric quantization scheme of Czyz and Hess is applied to the (n -1)-dimensional quadric in complex projective space. As the quadric 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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