2011/06/03 by Jean‐Christophe Pain, Jean-Christophe Pain, F. Gilleron +3
Mathematics · Physics and Astronomy · #Algorithm #Atomic and Molecular Physics #Classical mechanics #Computer science #Conservation law #Conservation of energy #Degenerate energy levels #Diagrammatic reasoning #Energy–momentum relation #Fermion #Formalism (music) #Mathematics #Nuclear physics research studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Recursion (computer science) #Theoretical physics #cond-mat.stat-mech #physics.atom-ph #quant-ph
paper · pdf · doi:10.1103/physreve.83.067701
submitted to Physical Review E
arxiv created 2011/06/03 · openalex publication_date 2011/06/23 · arxiv updated 2015/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The method proposed by Pratt to derive recursion relations for systems of degenerate fermions [S. Pratt, Phys. Rev. Lett. 84, 4255 (2000)] 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 in relation to the number of conservation laws (e.g., total energy or angular momentum).