Renormalised perturbation theory of normal systems

Lambert, Colin and Hagston, W. E. (1981) Renormalised perturbation theory of normal systems. Journal of Physics -London- a Mathematical and General, 14 (7). pp. 1533-1542. ISSN 0305-4470

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Employing an infinite hierarchy of equations for the Green functions of a many particle system in its ground state mod psi N), the well known non-relativistic, time-dependent, ground-state perturbation theory of a normal system of interacting fermions is derived, without introducing the hypothesis that mod psi N) is the adiabatic transform of a non-interacting state. This new formulation of the problem allows us to renormalise conventional perturbation theory by introducing an effective interaction Gamma and the final result is a highly summed and manifestly self-consistent perturbation expansion in powers of Gamma . The authors calculate Gamma to second order and demonstrate that many of the well known results of time-dependent perturbation theory may be obtained by choosing the simplest approximations for Gamma . The results are readily generalised to finite temperatures and the formalism provides a generalised form of Hartree-Fock theory which may have important applications in many areas of physics.

Item Type: Journal Article
Journal or Publication Title: Journal of Physics -London- a Mathematical and General
Uncontrolled Keywords: /dk/atira/pure/researchoutput/libraryofcongress/qc
Departments: Faculty of Science and Technology > Physics
ID Code: 58063
Deposited By: ep_importer_pure
Deposited On: 22 Oct 2012 10:58
Refereed?: Yes
Published?: Published
Last Modified: 30 Sep 2019 16:55

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