Solution to an Anomaly in Internal Energy inside Nonextensive Statistical Mechanics

F. A R Navarro; J. F. V. Flores

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arXiv · 0909.4254

Solution to an Anomaly in Internal Energy inside Nonextensive Statistical Mechanics

F. A R Navarro·J. F. V. Flores

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Abstract

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 ρ.

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F. A R Navarro, J. F. V. Flores. 2010-01-01. Solution to an Anomaly in Internal Energy inside Nonextensive Statistical Mechanics. https://arxiv.org/abs/0909.4254

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