Few-and Many-Fermion Problems

Abstract

The success of Monte Carlo methods such as the Green’s function Monte Carlo method (GFMC) [4.1–8] in calculating the ground-state properties of many-body systems has led to their application to Fermi systems. For boson Systems, ground-state properties may be calculated with only Statistical errors. These Bose calculations have been done for large numbers of particles (N > 100) and in three spatial dimensions. Although some exact fermion calculations have been done [4.9–14], these calculations have generally been in one spatial dimension, where the fermion system can be mapped onto an equivalent Bose system, or with only a few particles (N~3), where the difficulties associated with fermion systems can be controlled.

This work was supported by the U.S. Department of Energy under Grant AC 02-79ER10353.

Work supported under the auspices of the U.S. Department of Energy.