From nonlinear statistical mechanics to nonlinear quantum mehanics

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• Constantino Tsallis, CBPF, Rio de Janeiro, Brazil
• Wednesday 14 November 2012, 12:00-13:00
• Room 503, EEE Department.

If you have a question about this talk, please contact Henrik J Jensen.

Note unusual venue!!!!

Boltzmann-Gibbs statistical mechanics may be seen as a linear theory in some specific senses. We show then that nonadditive entropies (such as Sq) generalize this theory into a nonlinear one in these very same senses. Finally we use this standpoint to nonlinearly generalize Schroedinger, Klein-Gordon and Dirac equations. In addition to these arguments, we shall briefly present recent theoretical, experimental and computational results which confirm predictions of the generalized thermostatistical theory. BIBLIOGRAPHY : (i) J.S. Andrade Jr., G.F.T.da Silva, A.A. Moreira, F.D. Nobre and E.M.F. Curado, Phys. Rev. Lett. 105, 260601 (2010); (ii) F.D. Nobre, M.A. Rego​-­‐Monteiro and C. Tsallis, Phys. Rev. Lett. 106, 140601 (2011); (iii) http://tsallis.cat.cbpf.br/biblio.htm

This talk is part of the Complexity & Networks Group series.

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• Complexity & Networks Group
• Room 503, EEE Department

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