6 citations · 12 across the 3 of their papers we have counts for
3 papers
cond-mat.quant-gas2016★ 3 cited
A manifestly Hermitian semiclassical expansion for the one-particle density matrix of a two-dimensional Fermi gas
K. Bencheikh, B. P. van Zyl, K. Berkane
The semiclassical -expansion of the one-particle density matrix for a two-dimensional Fermi gas is calculated within the Wigner transform method of Grammaticos and Voros, or…
quant-ph2012★ 3 cited
Semiclassical expansion of the Slater sum for position dependent mass distributions in d dimensions
K. Berkane, K. Bencheikh
We consider hamiltonian systems with spatially varying effective mass and slowly varying local potential in d dimensions. The Slater sum is defined as the diagonal element of the B…
cond-mat.quant-gas2010★ 6 cited
Gradient corrections to the kinetic energy density functional of a two-dimensional Fermi gas at finite temperature
Brandon P. van Zyl, K. Berkane, K Bencheikh +1
We examine the leading order semiclassical gradient corrections to the non-interacting kinetic energy density functional of a two dimensional Fermi gas by applying the extended Tho…