Generating functions for canonical systems of fermions
Atomic Physics
2015-05-28 v1 Statistical Mechanics
Quantum Physics
Abstract
The method proposed by Pratt to derive recursion relations for systems of degenerate fermions [Phys. Rev. Lett. 84, 4255 (2000), arXiv:nucl-th/9905055] relies on diagrammatic techniques. This efficient formalism assumes no explicit two-body interactions, makes possible the inclusion of conservation laws and requires low computational time. In this brief report, we show that such recursion relations can be obtained from generating functions, without any restriction as concerns the number of conservation laws (e.g. total energy or angular momentum).
Cite
@article{arxiv.1106.0734,
title = {Generating functions for canonical systems of fermions},
author = {Jean-Christophe Pain and Franck Gilleron and Quentin Porcherot},
journal= {arXiv preprint arXiv:1106.0734},
year = {2015}
}
Comments
submitted to Physical Review E