| Domaine : |
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| Titre : |
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Holomorphic Hermite polynomials and a non-commutative plane |
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| Auteur(s) : |
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J.-P. Gazeau1, F. Hugon Szafraniec |
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| Laboratoire : |
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| équipe(s) de recherche : |
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APC - THEORIE |
| Résumé : |
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One more coherent state quantization of a complex plane is presented. Although the complex plane is equipped with a non-rotationally invariant measure, we still obtain a canonical commutation rule (up to a simple rescaling). We explain how the involved coherent states, built from holomorphic continuations of Hermite polynomials, are related to the non-commutative plane. |
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Langue du texte
intégral : |
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Anglais |
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| Journal : |
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| Journal of Physics A: Mathematical and Theoretical |
| Publisher |
Institute of Physics: Hybrid Open Access |
| ISSN |
1751-8113 (eISSN : 1751-8121) |
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| Audience : |
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internationale |
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| Type de publication : |
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Articles dans des revues avec comité de lecture |
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| Date de publication : |
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12/2011 |
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| Volume : |
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44 |
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| Page, identifiant, ... : |
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495201 |
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