Solution to an Anomaly in Internal Energy inside Nonextensive Statistical Mechanics

Details Solution to an Anomaly in Internal Energy inside Nonextensive Statistical Mechanics Solution to an Anomaly in Internal Energy inside Nonextensive Statistical Mechanics

2009-09-23

arxiv.org/abs/0909.4254v3

Physics

Condensed Matter

Statistical Mechanics

07 pages

Scientific paper

Herein, in the context of third version of nonextensive statistical mechanics, theory generalizing the Boltzmann-Gibbs-Shannon statistics, we displayed a solution for an anomaly found by calculating the internal energy for a composite A+B, of 2 spines 1/2, with additive Hamiltonian H= H_A+ H_B; specifically, the calculation of the internal energy in the full Hilbert space is different from the calculation done in the Hilbert subspaces, in other words, U_tot is different to U_A +U_B. We carry out analytical calculations (for 2 spins 1/2). The results exactly indicate that the alternative method of matrices E_A and E_B is suitable for the calculations of the internal energy, therefore, the matrix that contains the physical information of the system is the matrix rho^q but not \rho.

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