Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2007-07-05
J. Phys. A: Math. Theor. 40, 9987-9992 (2007)
Physics
Condensed Matter
Statistical Mechanics
6 pages, 0 figures, accepted for publication in J. Phys. A: Math. Theor
Scientific paper
10.1088/1751-8113/40/33/004
For an ideal D-dimensional Fermi gas under generic external confinement we derive the correcting coefficient $(D-2)/3D$ of the von Weizsacker term in the kinetic energy density. To obtain this coefficient we use the Kirzhnits semiclassical expansion of the number operator up to the second order in the Planck constant $\hbar$. Within this simple and direct approach we determine the differential equation of the density profile and the density functional of the Fermi gas. In the case D=2 we find that the Kirzhnits gradient corrections vanish to all order in $\hbar$.
No associations
LandOfFree
Kirzhnits gradient expansion for a D-dimensional Fermi gas does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Kirzhnits gradient expansion for a D-dimensional Fermi gas, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Kirzhnits gradient expansion for a D-dimensional Fermi gas will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-569831