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Title: Functional density matrix formulation of quantum statistics
Authors: Moreira, André Bessa
Carvalho Filho, Carlos Alberto Aragão de
Fraga, Eduardo Souza
Keywords: Quantum statistics;Functional density matrix
Issue Date: 2010
Publisher: The American Physical Society
Citation: MOREIRA, André Bessa; CARVALHO FILHO, Carlos Alberto Aragão de; FRAGA, Eduardo Souza. Functional density matrix formulation of quantum statistics. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, v. 81, 2010. Disponível em: <>. Acesso em: 13 out. 2017.
Portuguese Abstract: 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 onedimensional 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
ISSN: 2470-0053
Appears in Collections:ECT - Artigos publicados em periódicos

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