New mathematics for the non additive Tsallis' scenario
Quantum Physics
2017-04-13 v3 Statistical Mechanics
Abstract
In this manuscript we investigate quantum uncertainties in a Tsallis' non additive scenario. To such an end we appeal to q-exponentials, 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 q-exponential equivalents of the ordinary coherent states of the harmonic oscillator. We then characterize these new Tsallis' special states by obtaining the associated i) probability distributions for a state of momentum , ii) mean values for some functions of space an momenta, and iii) concomitant quantum uncertainties. The latter are then compared to the usual ones.
Cite
@article{arxiv.1511.08720,
title = {New mathematics for the non additive Tsallis' scenario},
author = {G. L. Ferri and F. Pennini and A. Plastino and M. C. Rocca},
journal= {arXiv preprint arXiv:1511.08720},
year = {2017}
}
Comments
27 pages. Two figures. Title has changed. Text has changed