32464 20210121082902.0 doi 10.1103/PhysRevE.91.022137 sideral 89520 ART-2015-89520 eng (orcid)0000-0003-0694-155X Alonso, J.L. Universidad de Zaragoza Nonextensive thermodynamic functions in the Schrödinger-Gibbs ensemble 2015 Access copy available to the general public Unrestricted Schr¨odinger suggested that thermodynamical functions cannot be based on the gratuitous allegation that quantum-mechanical levels (typically the orthogonal eigenstates of the Hamiltonian operator) are the only allowed states for a quantum system [E. Schr¨odinger, Statistical Thermodynamics (Courier Dover, Mineola, 1967)]. Different authors have interpreted this statement by introducing density distributions on the space of quantum pure states with weights obtained as functions of the expectation value of the Hamiltonian of the system. In this work we focus on one of the best known of these distributions and prove that, when considered in composite quantum systems, it defines partition functions that do not factorize as products of partition functions of the noninteracting subsystems, even in the thermodynamical regime. This implies that it is not possible to define extensive thermodynamical magnitudes such as the free energy, the internal energy, or the thermodynamic entropy by using these models. Therefore, we conclude that this distribution inspired by Schr¨odinger’s idea cannot be used to construct an appropriate quantum equilibrium thermodynamics. info:eu-repo/grantAgreement/ES/DGA/E24-1 info:eu-repo/grantAgreement/ES/DGA/E24-2 info:eu-repo/grantAgreement/ES/DGA/E24-3 info:eu-repo/grantAgreement/ES/MINECO/FIS2013-46159-C3-2 info:eu-repo/grantAgreement/ES/MINECO/FPA2012-35453 info:eu-repo/grantAgreement/ES/UZ/UZ2012-CIE-06 info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 2.252 2015 PHYSICS, MATHEMATICAL 6 / 53 = 0.113 2015 Q1 T1 PHYSICS, FLUIDS & PLASMAS 10 / 30 = 0.333 2015 Q2 T2 1.183 2015 Condensed Matter Physics 2015 Q1 Statistical and Nonlinear Physics 2015 Q1 Statistics and Probability 2015 Q2 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion (orcid)0000-0002-9253-7926 Castro, A. Universidad de Zaragoza (orcid)0000-0003-4721-7381 Clemente-Gallardo, J. Universidad de Zaragoza Cuchí, J.C. (orcid)0000-0001-8549-3139 Echenique, P. (orcid)0000-0001-7715-4970 Esteve, J.G. Universidad de Zaragoza (orcid)0000-0002-0882-0463 Falceto, F. Universidad de Zaragoza 2004 405 Universidad de Zaragoza Dpto. Física Teórica Área Física Teórica 91, 2 (2015), 022137 [13 pp.] Phys. rev., E Physical Review E 2470-0045 467300 http://zaguan.unizar.es/record/32464/files/texto_completo.pdf Versión publicada 134993 http://zaguan.unizar.es/record/32464/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:32464 articulos driver 2021-01-21-08:16:37 ARTICLE