تقرير
Star-product in the presence of a monopole
| العنوان: | Star-product in the presence of a monopole |
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| المؤلفون: | Carinena, J. F., Gracia-Bondia, J. M., Lizzi, Fedele, Marmo, Giuseppe, Vitale, Patrizia |
| المصدر: | Phys.Lett.A374:3614-3618,2010 |
| سنة النشر: | 2009 |
| المجموعة: | Mathematics High Energy Physics - Theory Mathematical Physics |
| مصطلحات موضوعية: | Mathematical Physics, High Energy Physics - Theory |
| الوصف: | We present a deformed star-product for a particle in the presence of a magnetic monopole. The product is obtained within a self-dual quantization-dequantization scheme, with the correspondence between classical observables and operators defined with the help of a quaternionic Hilbert space, following work by Emch and Jadczyk. The resulting product is well defined for a large class of complex functions and reproduces (at first order in hbar) the Poisson structure of the particle in the monopole field. The product is associative only for quantized monopole charges, thus incorporating Dirac's quantization requirement. |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1016/j.physleta.2010.06.069 |
| URL الوصول: | http://arxiv.org/abs/0912.2197 |
| رقم الأكسشن: | edsarx.0912.2197 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1016/j.physleta.2010.06.069 |
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