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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:
 09600779(200203)13:3<547:OEACFN>2.0.ZU;28
 Fonte:
 ISI
 Lingua:
 ENG
 Soggetto:
 UNCERTAINTY RELATIONS; ELASTICSCATTERING; 2DIMENSIONAL 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 MG6, Magurele, Romania Natl Inst Phys & Nucl Engn POB MG6 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. 547568
Abstract
In this paper, by introducing [SJ(p), S0(q)] Tsallislike 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 (PMDSQS) and the most stringent (MaxEnt) entropic bounds on Tsallislike entropiesfor quantum scattering is established. A measure of the complexity of quantum scattering in terms of Tsallislike 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 PMDSQSoptimality, as well ason the optimal entropic bands and optimal complexity, obtained by using the experimental pionnucleon pionnucleus phase shifts, are presented. The nonextensivity indices p and q are determined from the experimental entropies by a fit with the optimal entropies [SJ(o1)(p), S0(o1)(q)] obtained from the principle of minimum distance in the space of states. In this way strong experimental evidences for the pnonextensivities 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 pionnucleon and pionnucleus scatterings. (C) 2001 Elsevier Science Ltd. All rights reserved.
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Documento generato il 01/04/20 alle ore 18:00:00