Coherent states attached to the spectrum of the Bochner Laplacian for the Hopf fibration |
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| Authors: | Zouhaï r Mouayn |
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| Affiliation: | Department of Mathematics, Faculty of Sciences and Technics (M’Ghila), Sultan Moulay Slimane University, BP. 523, Béni Mellal, Morocco |
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| Abstract: | We construct coherent states attached to spectrum of the Bochner Laplacian for the Hopf fibration. This enables us to obtain a closed form for the expression of the coherent states attached to Landau levels on the Riemann sphere. We also obtain an identity for certain orthogonal polynomials. |
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| Keywords: | Coherent states Bochner Laplacian Hopf fibration Landau levels Riemann sphere |
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