Solution to an Anomaly in Internal Energy inside Nonextensive Statistical Mechanics
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 \rho.
Keywords
Cite
@article{arxiv.0909.4254,
title = {Solution to an Anomaly in Internal Energy inside Nonextensive Statistical Mechanics},
author = {F. A R Navarro and J. F. V. Flores},
journal= {arXiv preprint arXiv:0909.4254},
year = {2010}
}
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07 pages