English

Pauli-Potential and Green Function Monte-Carlo Method for Many-Fermion Systems

Quantum Physics 2009-10-28 v1 atom-ph High Energy Physics - Lattice Nuclear Theory

Abstract

The time evolution of a many-fermion system can be described by a Green's function corresponding to an effective potential, which takes anti-symmetrization of the wave function into account, called the Pauli-potential. We show that this idea can be combined with the Green's Function Monte Carlo method to accurately simulate a system of many non-relativistic fermions. The method is illustrated by the example of systems of several (2-9) fermions in a square well.

Keywords

Cite

@article{arxiv.quant-ph/9511009,
  title  = {Pauli-Potential and Green Function Monte-Carlo Method for Many-Fermion Systems},
  author = {B. L. G. Bakker and M. I. Polikarpov and A. I. Veselov},
  journal= {arXiv preprint arXiv:quant-ph/9511009},
  year   = {2009}
}

Comments

12 pages, LaTeX, 4 figures