Two-body collisions and mean-field theory: The Brueckner-Boltzmann equation

Wim Botermans; Rudi Malfiet

doi:10.1016/0370-2693(86)90990-1

Two-body collisions and mean-field theory: The Brueckner-Boltzmann equation

Wim Botermans, Rudi Malfiet

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Abstract

Starting from the BBGKY hierarchy of density matrices, a quantum mechanical Boltzmann equation, including a mean field, is derived. Both the mean field, which is of the well-known Brueckner-Hartree-Fock form, as well as the collision term are expressed in terms of the self-consistent Brueckner G-matrix. The relation with the generalized Boltzmann equation of Kadanoff and Baym is discussed. It is shown that the usual quantum mechanical theories like TDHF and Uehling-Uhlenbeck appear as limiting cases

Original language	English
Pages (from-to)	22-27
Number of pages	6
Journal	Physics Letters B
Volume	171
Issue number	1
DOIs	https://doi.org/10.1016/0370-2693(86)90990-1
Publication status	Published - 17-Apr-1986

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Cite this

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title = "Two-body collisions and mean-field theory: The Brueckner-Boltzmann equation",

abstract = "Starting from the BBGKY hierarchy of density matrices, a quantum mechanical Boltzmann equation, including a mean field, is derived. Both the mean field, which is of the well-known Brueckner-Hartree-Fock form, as well as the collision term are expressed in terms of the self-consistent Brueckner G-matrix. The relation with the generalized Boltzmann equation of Kadanoff and Baym is discussed. It is shown that the usual quantum mechanical theories like TDHF and Uehling-Uhlenbeck appear as limiting cases",

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AU - Botermans, Wim

AU - Malfiet, Rudi

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Y1 - 1986/4/17

N2 - Starting from the BBGKY hierarchy of density matrices, a quantum mechanical Boltzmann equation, including a mean field, is derived. Both the mean field, which is of the well-known Brueckner-Hartree-Fock form, as well as the collision term are expressed in terms of the self-consistent Brueckner G-matrix. The relation with the generalized Boltzmann equation of Kadanoff and Baym is discussed. It is shown that the usual quantum mechanical theories like TDHF and Uehling-Uhlenbeck appear as limiting cases

AB - Starting from the BBGKY hierarchy of density matrices, a quantum mechanical Boltzmann equation, including a mean field, is derived. Both the mean field, which is of the well-known Brueckner-Hartree-Fock form, as well as the collision term are expressed in terms of the self-consistent Brueckner G-matrix. The relation with the generalized Boltzmann equation of Kadanoff and Baym is discussed. It is shown that the usual quantum mechanical theories like TDHF and Uehling-Uhlenbeck appear as limiting cases

U2 - 10.1016/0370-2693(86)90990-1

DO - 10.1016/0370-2693(86)90990-1

M3 - Article

VL - 171

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EP - 27

JO - Physics Letters B

JF - Physics Letters B

SN - 0370-2693

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