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Renormalised perturbation theory of normal systems

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Renormalised perturbation theory of normal systems. / Lambert, Colin; Hagston, W. E. .

In: Journal of Physics A: Mathematical and General , Vol. 14, No. 7, 07.1981, p. 1533-1542.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Harvard

Lambert, C & Hagston, WE 1981, 'Renormalised perturbation theory of normal systems', Journal of Physics A: Mathematical and General , vol. 14, no. 7, pp. 1533-1542. https://doi.org/10.1088/0305-4470/14/7/010

APA

Lambert, C., & Hagston, W. E. (1981). Renormalised perturbation theory of normal systems. Journal of Physics A: Mathematical and General , 14(7), 1533-1542. https://doi.org/10.1088/0305-4470/14/7/010

Vancouver

Lambert C, Hagston WE. Renormalised perturbation theory of normal systems. Journal of Physics A: Mathematical and General . 1981 Jul;14(7):1533-1542. doi: 10.1088/0305-4470/14/7/010

Author

Lambert, Colin ; Hagston, W. E. . / Renormalised perturbation theory of normal systems. In: Journal of Physics A: Mathematical and General . 1981 ; Vol. 14, No. 7. pp. 1533-1542.

Bibtex

@article{6e65ceb460724fb0b81460d10d94ca98,
title = "Renormalised perturbation theory of normal systems",
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.",
author = "Colin Lambert and Hagston, {W. E.}",
year = "1981",
month = jul,
doi = "10.1088/0305-4470/14/7/010",
language = "English",
volume = "14",
pages = "1533--1542",
journal = "Journal of Physics A: Mathematical and General ",
issn = "0305-4470",
publisher = "IOP Publishing Ltd",
number = "7",

}

RIS

TY - JOUR

T1 - Renormalised perturbation theory of normal systems

AU - Lambert, Colin

AU - Hagston, W. E.

PY - 1981/7

Y1 - 1981/7

N2 - 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.

AB - 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.

U2 - 10.1088/0305-4470/14/7/010

DO - 10.1088/0305-4470/14/7/010

M3 - Journal article

VL - 14

SP - 1533

EP - 1542

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

SN - 0305-4470

IS - 7

ER -