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Título : | Spin coherent states, binomial convolution and a generalization of the Möbius function. |
Autor : | Francisco Neto, Antônio |
Fecha de publicación : | 2012 |
Citación : | FRANCISCO NETO, A. Spin coherent states, binomial convolution and a generalization of the Möbius function. Journal of Physics. A, Mathematical and Theoretical, v. 45, p. 395308, 2012. Disponível em: <http://iopscience.iop.org/article/10.1088/1751-8113/45/39/395308>. Acesso em: 20 jul. 2017. |
Resumen : | By making use of a G¨odel-type relabeling of quantum states we show that spin coherent states play a fundamental role in number theory. We generalize the representation of the M¨obius function obtained in Spector (1990 Commun. Math. Phys. 127 239) by giving a quantum mechanical interpretation of a generalization of the M¨obius function: the Fleck function. We also show that inversion convolution theorem for the Liouville function and some key relations giving theM¨obius inversion theorem can be understood from the orthogonality properties of the spin coherent states. Our results show a fruitful interplay of quantum mechanics and number theory. |
URI : | http://www.repositorio.ufop.br/handle/123456789/8735 |
metadata.dc.identifier.uri2: | http://iopscience.iop.org/article/10.1088/1751-8113/45/39/395308 |
metadata.dc.identifier.doi: | http://dx.doi.org/10.1088/1751-8113/45/39/395308 |
ISSN : | 1751-8121 |
Aparece en las colecciones: | DEPRO - Artigos publicados em periódicos |
Ficheros en este ítem:
Fichero | Descripción | Tamaño | Formato | |
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ARTIGO_SpinCoherentStates.pdf Restricted Access | 209,25 kB | Adobe PDF | Visualizar/Abrir |
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