Generating functions for canonical systems of fermions

Jean-Christophe Pain, Franck Gilleron, Quentin Porcherot
2011 Physical Review E  
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
more » ... rvation laws (e.g. total energy or angular momentum).
doi:10.1103/physreve.83.067701 pmid:21797523 fatcat:cjvts6hacfa4dh7xr7rybbqgra