Dilute Fermi gas: kinetic and interaction energies

Details Dilute Fermi gas: kinetic and interaction energies Dilute Fermi gas: kinetic and interaction energies

2004-01-13

arxiv.org/abs/cond-mat/0401218v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevA.70.063618

A dilute homogeneous 3D Fermi gas in the ground state is considered for the case of a repulsive pairwise interaction. The low-density (dilution) expansions for the kinetic and interaction energies of the system in question are calculated up to the third order in the dilution parameter. Similar to the recent results for a Bose gas, the calculated quantities turn out to depend on a pairwise interaction through the two characteristic lengths: the former, $a$, is the well-known s-wave scattering length, and the latter, $b$, is related to $a$ by $b=a-m (\partial a/\partial m)$, where $m$ stands for the fermion mass. To take control of the results, calculations are fulfilled in two independent ways. The first involves the Hellmann-Feynman theorem, taken in conjunction with a helpful variational theorem for the scattering length. This way is used to derive the kinetic and interaction energies from the familiar low-density expansion of the total system energy first found by Huang and Yang. The second way operates with the in-medium pair wave functions. It allows one to derive the quantities of interest``from the scratch'', with no use of the total energy. An important result of the present investigation is that the pairwise interaction of fermions makes an essential contribution to their kinetic energy. Moreover, there is a complicated and interesting interplay of these quantities.

Affiliated with

Also associated with

No associations

Rating

Dilute Fermi gas: kinetic and interaction energies 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 Dilute Fermi gas: kinetic and interaction energies, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dilute Fermi gas: kinetic and interaction energies will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-266443