000032464 001__ 32464 000032464 005__ 20210121082902.0 000032464 0247_ $$2doi$$a10.1103/PhysRevE.91.022137 000032464 0248_ $$2sideral$$a89520 000032464 037__ $$aART-2015-89520 000032464 041__ $$aeng 000032464 100__ $$0(orcid)0000-0003-0694-155X$$aAlonso, J.L.$$uUniversidad de Zaragoza 000032464 245__ $$aNonextensive thermodynamic functions in the Schrödinger-Gibbs ensemble 000032464 260__ $$c2015 000032464 5060_ $$aAccess copy available to the general public$$fUnrestricted 000032464 5203_ $$aSchr¨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. 000032464 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E24-1$$9info:eu-repo/grantAgreement/ES/DGA/E24-2$$9info:eu-repo/grantAgreement/ES/DGA/E24-3$$9info:eu-repo/grantAgreement/ES/MINECO/FIS2013-46159-C3-2$$9info:eu-repo/grantAgreement/ES/MINECO/FPA2012-35453$$9info:eu-repo/grantAgreement/ES/UZ/UZ2012-CIE-06 000032464 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/ 000032464 590__ $$a2.252$$b2015 000032464 591__ $$aPHYSICS, MATHEMATICAL$$b6 / 53 = 0.113$$c2015$$dQ1$$eT1 000032464 591__ $$aPHYSICS, FLUIDS & PLASMAS$$b10 / 30 = 0.333$$c2015$$dQ2$$eT2 000032464 592__ $$a1.183$$b2015 000032464 593__ $$aCondensed Matter Physics$$c2015$$dQ1 000032464 593__ $$aStatistical and Nonlinear Physics$$c2015$$dQ1 000032464 593__ $$aStatistics and Probability$$c2015$$dQ2 000032464 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000032464 700__ $$0(orcid)0000-0002-9253-7926$$aCastro, A.$$uUniversidad de Zaragoza 000032464 700__ $$0(orcid)0000-0003-4721-7381$$aClemente-Gallardo, J.$$uUniversidad de Zaragoza 000032464 700__ $$aCuchí, J.C. 000032464 700__ $$0(orcid)0000-0001-8549-3139$$aEchenique, P. 000032464 700__ $$0(orcid)0000-0001-7715-4970$$aEsteve, J.G.$$uUniversidad de Zaragoza 000032464 700__ $$0(orcid)0000-0002-0882-0463$$aFalceto, F.$$uUniversidad de Zaragoza 000032464 7102_ $$12004$$2405$$aUniversidad de Zaragoza$$bDpto. Física Teórica$$cÁrea Física Teórica 000032464 773__ $$g91, 2 (2015), 022137 [13 pp.]$$pPhys. rev., E$$tPhysical Review E$$x2470-0045 000032464 8564_ $$s467300$$uhttps://zaguan.unizar.es/record/32464/files/texto_completo.pdf$$yVersión publicada 000032464 8564_ $$s134993$$uhttps://zaguan.unizar.es/record/32464/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000032464 909CO $$ooai:zaguan.unizar.es:32464$$particulos$$pdriver 000032464 951__ $$a2021-01-21-08:16:37 000032464 980__ $$aARTICLE