info:eu-repo/semantics/article
New mathematics for the non additive Tsallis' scenario
Fecha
2017-04Registro en:
Ferri, Gustavo Luis; Pennini, Flavia Catalina; Plastino, Ángel Luis; Rocca, Mario Carlos; New mathematics for the non additive Tsallis' scenario; World Scientific; International Journal of Modern Physics B; 31; 4-2017; 175051-175070
0217-9792
CONICET Digital
CONICET
Autor
Ferri, Gustavo Luis
Pennini, Flavia Catalina
Plastino, Ángel Luis
Rocca, Mario Carlos
Resumen
In this paper, we investigate quantum uncertainties in a Tsallis’ nonadditive 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.