Uniform semiclassical approximations for one-dimensional fermionic systems
arXiv:1510.05676
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.
21 pages, 3 figures