New mathematics for the nonadditive Tsallis' scenario

In this paper, we investigate quantum uncertainties in a Tsallis' nonadditive scenario. To such an end we appeal to q-exponentials (qEs), that are the cornerstone of Tsallis' theory. In this respect, it is found that some new mathematics is needed and we are led to construct a set of novel...

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Autores principales:	Ferri, Gustavo L., Pennini, Flavia, Plastino, Ángel Luis, Rocca, Mario Carlos
Formato:	Articulo
Lenguaje:	Inglés
Publicado:	2017
Materias:	Ciencias Exactas Física Tsallis' statistics quantum uncertainties q-exponentials
Acceso en línea:	http://sedici.unlp.edu.ar/handle/10915/106570 https://www.worldscientific.com/doi/abs/10.1142/S021797921750151X
Aporte de:	SEDICI (UNLP) de Universidad Nacional de La Plata

id	I19-R120-10915-106570
record_format	dspace
institution	Universidad Nacional de La Plata
institution_str	I-19
repository_str	R-120
collection	SEDICI (UNLP)
language	Inglés
topic	Ciencias Exactas Física Tsallis' statistics quantum uncertainties q-exponentials
spellingShingle	Ciencias Exactas Física Tsallis' statistics quantum uncertainties q-exponentials Ferri, Gustavo L. Pennini, Flavia Plastino, Ángel Luis Rocca, Mario Carlos New mathematics for the nonadditive Tsallis' scenario
topic_facet	Ciencias Exactas Física Tsallis' statistics quantum uncertainties q-exponentials
description	In this paper, we investigate quantum uncertainties in a Tsallis' nonadditive scenario. To such an end we appeal to q-exponentials (qEs), that are the cornerstone of Tsallis' theory. In this respect, it is found that some new mathematics is needed and we are led to construct a set of novel special states that are the qE equivalents of the ordinary coherent states (CS) of the harmonic oscillator (HO). We then characterize these new Tsallis' special states by obtaining the associated (i) probability distributions (PDs) for a state of momentum k, (ii) mean values for some functions of space an momenta and (iii) concomitant quantum uncertainties. The latter are then compared to the usual ones.
format	Articulo Articulo
author	Ferri, Gustavo L. Pennini, Flavia Plastino, Ángel Luis Rocca, Mario Carlos
author_facet	Ferri, Gustavo L. Pennini, Flavia Plastino, Ángel Luis Rocca, Mario Carlos
author_sort	Ferri, Gustavo L.
title	New mathematics for the nonadditive Tsallis' scenario
title_short	New mathematics for the nonadditive Tsallis' scenario
title_full	New mathematics for the nonadditive Tsallis' scenario
title_fullStr	New mathematics for the nonadditive Tsallis' scenario
title_full_unstemmed	New mathematics for the nonadditive Tsallis' scenario
title_sort	new mathematics for the nonadditive tsallis' scenario
publishDate	2017
url	http://sedici.unlp.edu.ar/handle/10915/106570 https://www.worldscientific.com/doi/abs/10.1142/S021797921750151X
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bdutipo_str	Repositorios
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New mathematics for the nonadditive Tsallis' scenario

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