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| HAL: hal-00739312, version 1 |
| ADS Bibliographic id: 2011JPhA...44W5201G |
| DOI: 10.1088/1751-8113/44/49/495201 |
| Detailed view |  Export this paper |
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| Journal of Physics A: Mathematical and Theoretical 44 (2011) 495201 |
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| Holomorphic Hermite polynomials and a non-commutative plane |
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| J.-P. Gazeau1F. Hugon Szafraniec |
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| (2011-12) |
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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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| 1: | APC - AstroParticule et Cosmologie |
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| APC - THEORIE |
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| Subject | : | Physics/Mathematical Physics Mathematics/Mathematical Physics |
| hal-00739312, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00739312 | |
| oai:hal.archives-ouvertes.fr:hal-00739312 | |
| From: Alina Deniau | |
| Submitted on: Sunday, 7 October 2012 19:05:59 | |
| Updated on: Sunday, 7 October 2012 19:06:50 | |
