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

## 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: | Article |
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Journal or Publication Title: | Journal of Physics -London- a Mathematical and General |

Subjects: | Q Science > QC Physics |

Departments: | Faculty of Science and Technology > Physics |

ID Code: | 58063 |

Deposited By: | ep_importer_pure |

Deposited On: | 22 Oct 2012 11:58 |

Refereed?: | Yes |

Published?: | Published |

Last Modified: | 03 Nov 2015 16:28 |

Identification Number: | |

URI: | http://eprints.lancs.ac.uk/id/eprint/58063 |

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