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Titolo:
Optimality, entropy and complexity for nonextensive quantum scattering
Autore:
Ion, DB; Ion, MLD;
Indirizzi:
Natl Inst Phys & Nucl Engn, NIPNE HH, Magurele, Romania Natl Inst Phys & Nucl Engn Magurele Romania NIPNE HH, Magurele, Romania
Titolo Testata:
CHAOS SOLITONS & FRACTALS
fascicolo: 3, volume: 13, anno: 2002,
pagine: 547 - 568
SICI:
0960-0779(200203)13:3<547:OEACFN>2.0.ZU;2-8
Fonte:
ISI
Lingua:
ENG
Soggetto:
UNCERTAINTY RELATIONS; ELASTIC-SCATTERING; 2-DIMENSIONAL TURBULENCE; SPINLESS PARTICLES; STATISTICS; PRINCIPLE; EVOLUTION; DISTANCE; PHYSICS; BOUNDS;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Physical, Chemical & Earth Sciences
Citazioni:
58
Recensione:
Indirizzi per estratti:
Indirizzo: Ion, DB Natl Inst Phys & Nucl Engn, NIPNE HH, POB MG-6, Magurele, Romania Natl Inst Phys & Nucl Engn POB MG-6 Magurele Romania le, Romania
Citazione:
D.B. Ion e M.L.D. Ion, "Optimality, entropy and complexity for nonextensive quantum scattering", CHAOS SOL F, 13(3), 2002, pp. 547-568

Abstract

In this paper, by introducing [S-J(p), S-0(q)] Tsallis-like entropies, theoptimality and complexities as well as the nonextensive statistical behavior of the [J and theta]-quantum states in hadronic scatterings are investigated in an unified manner. A connection between optimal states obtained from the principle of minimum distance in the space of quantum states (PMD-SQS) and the most stringent (MaxEnt) entropic bounds on Tsallis-like entropiesfor quantum scattering is established. A measure of the complexity of quantum scattering in terms of Tsallis-like entropies is proposed. The generalized entropic uncertainty relations as well as a possible correlation between the nonextensivities p and q of the [J and theta]-statistics are proved. The results on the experimental tests of the PMD-SQS-optimality, as well ason the optimal entropic bands and optimal complexity, obtained by using the experimental pion-nucleon pion-nucleus phase shifts, are presented. The nonextensivity indices p and q are determined from the experimental entropies by a fit with the optimal entropies [S-J(o1)(p), S-0(o1)(q)] obtained from the principle of minimum distance in the space of states. In this way strong experimental evidences for the p-nonextensivities in the range 0.5 lessthan or equal top less than or equal to0.6 with q = p/(2p - 1) > 3 are obtained [with high accuracy (CL > 99%)] from the experimental data of pion-nucleon and pion-nucleus scatterings. (C) 2001 Elsevier Science Ltd. All rights reserved.

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Documento generato il 02/06/20 alle ore 01:54:00