"Generalized entropies depending on the probability (density matrix)"

Generalized entropy(ies) that depend only on the probability (the density matrix) will be exhibited.
It will be shown that these generalized entropy(ies) are obtained by means of the superstatistics proposal and they correspond to generalized entanglement entropy(ies) that are at the same time a consequence of generalizing the Replica trick. They could be particularly relevant for systems with few degrees of freedom. Following the entropic force formulation, these generalized entropy(ies) provide a modified Newton ́s law of gravitation. We discuss the difficulties to get an associated theory of gravity. Our results also show corrections to the Bose-Einstein and Fermi-Dirac Statistics. Moreover, by modifying the “Quantropy” proposal of Baez and Pollard considering the propagator K(x) instead of the Feynmann amplitude a(x), a procedure is found to define generalized wave functions that can, in principle, be calculated for any potential; any generalized quantum behavior of interest.

Participante: Dr. Octavio Obregón Díaz

Institución: Universidad de Guanajuato

Fecha y hora: Este evento terminó el Miércoles, 26 de Junio de 2019