New mathematics for the nonadditive Tsallis’ scenario
- Ferri, G. L. Facultad de Ciencias Exactas y Naturales, Universidad Nacional de La Pampa, Peru 151, 6300 Santa Rosa, La Pampa, Argentina, Uruguay 151, Santa Rosa, La Pampa, Argentina
- Pennini, F. Universidad Católica del Norte, Av. Angamos 0610, Antofagasta, Chile
- plastino, A. ORCID SThAR - EPFL, Lausanne, Switzerland
- Rocca, M. C. Consejo Nacional de Investigaciones Científicas y Tecnológicas (IFLP-CCT-CONICET)-C. C. 727, 1900 La Plata, Argentina
- 2017-8-18
Published in:
- International Journal of Modern Physics B. - World Scientific Pub Co Pte Lt. - 2017, vol. 31, no. 21, p. 1750151
English
In this paper, we investigate quantum uncertainties in a Tsallis’ nonadditive scenario. To such an end we appeal to [Formula: see text]-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 [Formula: see text], (ii) mean values for some functions of space an momenta and (iii) concomitant quantum uncertainties. The latter are then compared to the usual ones.
- Language
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- English
- Open access status
- green
- Identifiers
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- DOI 10.1142/s021797921750151x
- ISSN 0217-9792
- Persistent URL
- https://sonar.ch/global/documents/282330
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