English

Uniform semiclassical approximations for one-dimensional fermionic systems

Quantum Physics 2015-10-21 v1

Abstract

A thorough account is given of the derivation of uniform semiclassical approximations to the particle and kinetic energy densities of N noninteracting bounded fermions in one dimension. The employed methodology allows the inclusion of non-perturbative effects via an infinite resummation of the Poisson summation formula.

Keywords

Cite

@article{arxiv.1510.05676,
  title  = {Uniform semiclassical approximations for one-dimensional fermionic systems},
  author = {Raphael F. Ribeiro and Kieron Burke},
  journal= {arXiv preprint arXiv:1510.05676},
  year   = {2015}
}

Comments

21 pages, 3 figures

R2 v1 2026-06-22T11:24:06.722Z