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| HAL: hal-00660880, version 1 |
| DOI: 10.1063/1.3656253 |
| Detailed view |  Export this paper |
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| Journal of Mathematical Physics 52, 11 (2011) 112101 |
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| Positive Quantization in the Presence of a Variable Magnetic Field |
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| Marius Mantoiu 1, 2Radu Purice 2 |
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| (2011-11-01) |
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| Starting with a previously constructed family of coherent states, we introduce the Berezin quantization for a particle in a variable magnetic field and we show that it constitutes a strict quantization of a natural Poisson algebra. The phase-space reinterpretation involves a magnetic version of the Bargmann space and leads naturally to Berezin-Toeplitz operators. |
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| 1: | Departamento de Matematicas |
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Universidad de Chile |
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| 2: | "Simion Stoilow" Institute of Mathematics (IMAR) |
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Romanian Academy of Sciences |
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| 3: | Institut Camille Jordan (ICJ) |
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CNRS : UMR5208 – Université Claude Bernard - Lyon I – Ecole Centrale de Lyon – Institut National des Sciences Appliquées (INSA) - Lyon |
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| 4: | Graduate School of Pure and Applied Sciences |
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University of Tsukuba |
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| PSPM |
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| Subject | : | Mathematics/Mathematical Physics |
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| hal-00660880, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00660880 | |
| oai:hal.archives-ouvertes.fr:hal-00660880 | |
| From: Serge Richard | |
| Submitted on: Wednesday, 18 January 2012 01:32:27 | |
| Updated on: Wednesday, 18 January 2012 09:02:42 | |
