Renormalised perturbation theory of normal systems

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

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Abstract

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 A: Mathematical and General
Uncontrolled Keywords:
/dk/atira/pure/core/keywords/physics
Subjects:
?? physicsgeneral physics and astronomymathematical physicsstatistical and nonlinear physicsphysics and astronomy(all)qc physics ??
ID Code:
58063
Deposited By:
Deposited On:
22 Oct 2012 10:58
Refereed?:
Yes
Published?:
Published
Last Modified:
16 Jul 2024 09:10