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Renormalized Perturbation Expansion in Kinetic Theory
Author(s) -
Der R.
Publication year - 1977
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19774890409
Subject(s) - resummation , physics , perturbation theory (quantum mechanics) , many body theory , scattering , s matrix , matrix (chemical analysis) , kinetic theory , quantum mechanics , kinetic energy , boltzmann equation , boltzmann constant , fermi gamma ray space telescope , mathematical physics , quantum electrodynamics , quantum chromodynamics , theoretical physics , materials science , composite material
Ladder summation techniques are applied to the recently developed c ‐number diagram expansion for kinetic equations describing the relaxation of quantum fluids. By way of the resummation, the kinetic equations are reformulated in terms of a T ‐matrix which describes the scattering of two particles influenced by the remaining particles of the system via the particle statistics (Bose or Fermi). At sufficiently high temperatures (Maxwell‐Boltzmann statistics), the T ‐matrix introduced coincides with the usual T ‐matrix of conventional two‐body scattering theory in free space. In low‐temperature Fermi systems, the T ‐matrix differs from the reaction matrix of the Brueckner‐Goldstone theory because the “healing” property of the two‐body wave function does not obtain.