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 0305-4470Full text not available from this repository.
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.
|Journal or Publication Title:||Journal of Physics -London- a Mathematical and General|
|Subjects:||Q Science > QC Physics|
|Departments:||Faculty of Science and Technology > Physics|
|Deposited On:||22 Oct 2012 11:58|
|Last Modified:||07 Jan 2015 17:51|
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