Brack, Matthias and Murthy, M. V. N. (2003) Harmonically trapped fermion gases: exact and asymptotic results in arbitrary dimensions. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 36 (4). pp. 1111-1133. ISSN 0305-4470
Full text not available from this repository.Abstract
We investigate the particle and kinetic energy densities of harmonically trapped fermion gases at zero temperature in arbitrary dimensions. We derive differential equations connecting these densities, which so far have been proved only in one or two dimensions, and give other interesting relations involving several densities or the particle density alone. We show that in the asymptotic limit of large particle numbers, the densities go over into the semi-classical Thomas-Fermi (TF) densities. Hereby the Fermi energy to be used in the TF densities is uniquely identified. We derive an analytical expansion for the remaining oscillating parts and obtain very simple closed forms for the leading-order oscillating densities. Finally, we show that the simple TF functional relation tau(TF)[rho] between kinetic and particle densities is also fulfilled for the asymptotic quantum densities tau(r) and rho(r) including their leading-order oscillating terms.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | KINETIC-ENERGY DENSITIES; NONINTERACTING FERMIONS; PARTICLE; CONFINEMENT; VAPORS; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Alumni or Retired Professors > Group Matthias Brack |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 24 Aug 2021 13:15 |
| Last Modified: | 24 Aug 2021 13:15 |
| URI: | https://pred.uni-regensburg.de/id/eprint/39343 |
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