Ground State Energy of the Low Density Fermi Gas

Details Ground State Energy of the Low Density Fermi Gas Ground State Energy of the Low Density Fermi Gas

2004-12-22

arxiv.org/abs/math-ph/0412080v1

Phys. Rev. A 71, 053605 (2005)

Physics

Mathematical Physics

LaTeX, 22 pages

Scientific paper

10.1103/PhysRevA.71.053605

Recent developments in the physics of low density trapped gases make it worthwhile to verify old, well known results that, while plausible, were based on perturbation theory and assumptions about pseudopotentials. We use and extend recently developed techniques to give a rigorous derivation of the asymptotic formula for the ground state energy of a dilute gas of $N$ fermions interacting with a short-range, positive potential of scattering length $a$. For spin 1/2 fermions, this is $E \sim E^0 + (\hbar^2/2m) 2 \pi N \rho a$, where $E^0$ is the energy of the non-interacting system and $\rho$ is the density. A similar formula holds in 2D, with $\rho a$ replaced by $\rho /|\ln(\rho a^2)|$. Obviously this 2D energy is not the expectation value of a density-independent pseudopotential.

Affiliated with

Also associated with

No associations

Rating

Ground State Energy of the Low Density 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 Ground State Energy of the Low Density Fermi Gas, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Ground State Energy of the Low Density Fermi Gas will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-543414