Ion, D. B.; Ion, M. L. D. Optimality, entropy and complexity for nonextensive quantum scattering. (English) Zbl 1011.81078 Chaos Solitons Fractals 13, No. 3, 547-568 (2002). In the paper, by introducing Tsallis-like entropies, the optimality, the complexities, and the nonextensive statistical behavior of quantum states in hadronic scattering are studied. A measure of complexity of quantum scattering in terms of Tsallis-like entropies is proposed. The nonextensivity indices are determined from the experimental entropies by a fit with the optimal entropies. The latters are obtained from the principle of minimum distance in the space of states. The experimental evidence for the nonextensive statistical behavior of the (\(J,\theta\))-quantum scattering states is interpreted as a manifestation of the presence of quarks and gluons. Reviewer: Dmitry Shepelsky (Kharkov) MSC: 81U05 \(2\)-body potential quantum scattering theory 81V35 Nuclear physics 81V05 Strong interaction, including quantum chromodynamics 81R50 Quantum groups and related algebraic methods applied to problems in quantum theory 82B03 Foundations of equilibrium statistical mechanics Keywords:quantum scattering; entropy; complexity PDFBibTeX XMLCite \textit{D. B. Ion} and \textit{M. L. D. Ion}, Chaos Solitons Fractals 13, No. 3, 547--568 (2002; Zbl 1011.81078) Full Text: DOI References: [1] Ohya, M.; Petz, D., (Quantum entropy and its use (1993), Springer: Springer Berlin), 279 [2] Grad, H., Commun. Pure. Appl. Math., 14, 323 (1961) [3] Wehrl, A., Rev. Mod. Phys., 50, 221 (1978) [4] Cyransky, J. F., J. Math. Phys., 22, 1467 (1981) [5] Levine, R. D.; Tribus, M., The maximum entropy formalism (1979), Cambridge University Press: Cambridge University Press Cambridge (MA) [6] Jaynes, E. T., Phys. Rev., 106, 620 (1957) [7] Jaynes, E. T., Phys. 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