From the static polarization function of electrons in the random phase approximation, the
quantum Bohm potential for the quantum hydrodynamic description of electrons and the …

We derive the semiclassical Kirzhnits expansion of the D-dimensional one-particle density
matrix up to the second order in ℏ. We focus on the two-dimensional (2D) case and show …

Building on the discussion in Trappe et al.(2016), we present a systematic derivation of
gradient corrections to the kinetic-energy functional and the one-particle density, in …

The average-density approximation is used to construct a nonlocal kinetic energy functional
for an inhomogeneous two-dimensional Fermi gas. This functional is then used to formulate …

The one-body density matrix (ODM) for a d-dimensional zero temperature non-interacting
Fermi gas can be approximately obtained in the semiclassical regime through different …

We provide a simple approach to the analytical evaluation of inverse integral transforms that
does not require any knowledge of complex analysis. The central idea behind our method is …

Two-component dense quantum plasmas are created in various experimental facilities by
means of compression of matter by charged particles or laser beams. These experiments …