2017/09/12 by Calvin W. Johnson, Kevin D. O'Mara
Mathematics · Physics and Astronomy · #Algorithm #Angular momentum #Angular momentum coupling #Atomic and Molecular Physics #Classical mechanics #Dykstra's projection algorithm #Geometry #Isospin #Mathematical analysis #Mathematical optimization #Mathematics #Nuclear physics research studies #Optics #Particle physics #Physics #Projection (relational algebra) #Projection method #Quadrature (astronomy) #Quantum Chromodynamics and Particle Interactions #Stereographic projection #Total angular momentum quantum number #nucl-th #physics.comp-ph
paper · pdf · doi:10.1103/physrevc.96.064304
published as Phys. Rev. C 96, 064304 (2017) · 14 pages, 2 figures, 1 table
arxiv created 2017/09/12 · openalex publication_date 2017/12/01 · arxiv updated 2017/12/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Projection of many-body states with good angular momentum from an initial state is usually accomplished by a three-dimensional integral. We show how projection can instead be done by solving a straightforward system of linear equations. We demonstrate the method and give sample applications to 48Cr and 60Fe in the pf shell. This new projection scheme, which is competitive against the standard numerical quadrature, should also be applicable to other quantum numbers such as isospin and particle number.