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

Research output: Contribution to journal › Article › Academic › peer-review

49 Citations (Scopus)

146 Downloads (Pure)

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

Access to Document

10.1016/0370-2693(86)90990-1Licence: Unspecified

Two-body collisions and mean-field theoryFinal publisher's version, 369 KBLicence: Unspecified

Cite this

@article{539c5a938e774a09a7aff2e91e7b18db,

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",

author = "Wim Botermans and Rudi Malfiet",

year = "1986",

month = apr,

day = "17",

doi = "10.1016/0370-2693(86)90990-1",

language = "English",

volume = "171",

pages = "22--27",

journal = "Physics Letters B",

issn = "0370-2693",

publisher = "ELSEVIER SCIENCE BV",

number = "1",

}

TY - JOUR

T1 - Two-body collisions and mean-field theory

T2 - The Brueckner-Boltzmann equation

AU - Botermans, Wim

AU - Malfiet, Rudi

PY - 1986/4/17

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

SP - 22

EP - 27

JO - Physics Letters B

JF - Physics Letters B

SN - 0370-2693

IS - 1

ER -