Beliebiger Eintrag,
Coordinate-Space Solver for Superfluid Many-Fermion Systems with Shifted Conjugate Orthogonal Conjugate Gradient Method
(12.08.2016)
Zusammenfassung
Self-consistent approaches to superfluid many-fermion systems in 3-dimensions
(and subsequent time-dependent approaches) require a large number of
diagonalizations of very large dimension hermitian matrices, which results in
enormous computational costs. We present an approach based on the shifted
conjugate-orthogonal conjugate-gradient (COCG) method for the evaluation of the
Green's function, from which we subsequently extract various densities
(particle number, spin, current, kinetic energy, etc.) of a nuclear system
needed in self-consistent approaches. The approach eschews the construction of
the quasiparticle wavefunctions and their corresponding quasiparticle energies,
which are never explicitly needed in any density functional approaches. As
benchmarks we present calculations for nuclei with axial symmetry, including
the ground state of spherical (magic or semi-magic) and axially deformed
nuclei, the saddle-point in the \$^240\$Pu constrained fission path, and a
vortex in the neutron star crust.
