A Universal Energy Functional for Trapped Fermi Gases with Large Scattering Length
Quantum Gases
2015-05-28 v1
Abstract
Yoram Alhassid conjectured that the total energy of a harmonically trapped two-component Fermi gas with large scattering length is a linear functional of the occupation probabilities of single-particle energy eigenstates. We confirm his conjecture and derive the functional explicitly. We show that the functional applies to ALL smooth potentials having a minimum, not just harmonic traps. We also calculate the occupation probabilities of high energy states.
Keywords
Cite
@article{arxiv.1107.1556,
title = {A Universal Energy Functional for Trapped Fermi Gases with Large Scattering Length},
author = {Shina Tan},
journal= {arXiv preprint arXiv:1107.1556},
year = {2015}
}
Comments
4 pages