Functional density matrix formulation of quantum statistics

Moreira, André Bessa; Carvalho Filho, Carlos Alberto Aragão de; Fraga, Eduardo Souza

Functional density matrix formulation of quantum statistics

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dc.contributor.author	Moreira, André Bessa
dc.contributor.author	Carvalho Filho, Carlos Alberto Aragão de
dc.contributor.author	Fraga, Eduardo Souza
dc.date.accessioned	2020-08-06T14:59:10Z
dc.date.available	2020-08-06T14:59:10Z
dc.date.issued	2010-01-05
dc.description.resumo	We present a unified formulation for quantum statistical physics based on the representation of the density matrix as a functional integral. For quantum statistical (thermal) field theory, the stochastic variable of the statistical theory is a boundary field configuration. We explore the properties of an effective theory for such boundary configurations and apply it to the computation of the partition function of an interacting one-dimensional quantum-mechanical system at finite temperature. Plots of free energy and specific heat show excellent agreement with more involved semiclassical results. The method of calculation provides an alternative to the usual sum over periodic trajectories: it sums over paths with coincident end points and includes nonvanishing boundary terms. An appropriately modified expansion into modified Matsubara modes is presented	pt_BR
dc.identifier.citation	BESSA, A.; CARVALHO FILHO, C. A. A.; FRAGA, E.S.. Functional density matrix formulation of quantum statistics. Physical Review E, [S.L.], v. 81, n. 1, p. 11, 5 jan. 2010. Disponível em: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.81.011103. Acesso em: 04 ago. 2020. http://dx.doi.org/10.1103/physreve.81.011103.	pt_BR
dc.identifier.doi	10.1103/PhysRevE.81.011103
dc.identifier.issn	2470-0045
dc.identifier.uri	https://repositorio.ufrn.br/jspui/handle/123456789/29788
dc.language	en	pt_BR
dc.publisher	American Physical Society	pt_BR
dc.rights	Attribution 3.0 Brazil	*
dc.rights.uri	http://creativecommons.org/licenses/by/3.0/br/	*
dc.subject	Quantum statistics	pt_BR
dc.subject	Functional density matrix	pt_BR
dc.title	Functional density matrix formulation of quantum statistics	pt_BR
dc.type	article	pt_BR