Generalized MICZ�Kepler problems and unitary highest weight modules, II
- Autores: Guowu Meng
- Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 81, Nº 3, 2010, págs. 663-678
- Idioma: inglés
- DOI: 10.1112/jlms/jdq019
- Enlaces
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Resumen
For each integer n 2, we demonstrate that a 2n-dimensional generalized MICZ�Kepler problem has a Spin(2, 2n + 1) dynamical symmetry which extends the manifest Spin(2n) symmetry. The Hilbert space of bound states is shown to form a unitary highest weight Spin(2, 2n + 1)-module with the minimal positive Gelfand�Kirillov dimension. As a byproduct, we get a simple geometric realization for such a unitary highest weight Spin(2, 2n + 1)-module.
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