Projection of angular momentum via linear algebra

Abstract

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 ${}^{48}$Cr and ${}^{60}$Fe 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.

14 pages, 2 figures, 1 table

References in corpus (2)

• Spin projection in the shell model Monte Carlo method and the spin distribution of nuclear level densities
• Angular Momentum Projected Configuration Interaction with Realistic Hamiltonians

Cited by in corpus (6)

• Projection on particle number and angular momentum: Example of triaxial Bogoliubov quasiparticle states
• The union of rotational and vibrational modes in generator-coordinate-type calculations, with application to neutrinoless double-beta decay
• Nuclear states projected from a pair condensate
• Nucleon-pair coupling scheme in Elliott's SU(3) model
• An effective and efficient algorithm for the Wigner rotation matrix at high angular momenta
• Exact sum rules with approximate ground states