Exact particle and kinetic-energy densities for one-dimensional confined gases of noninteracting fermions

Citation
P. Vignolo et al., Exact particle and kinetic-energy densities for one-dimensional confined gases of noninteracting fermions, PHYS REV L, 85(14), 2000, pp. 2850-2853
Citations number
23
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW LETTERS
ISSN journal
00319007 → ACNP
Volume
85
Issue
14
Year of publication
2000
Pages
2850 - 2853
Database
ISI
SICI code
0031-9007(20001002)85:14<2850:EPAKDF>2.0.ZU;2-M
Abstract
We propose a new method for the evaluation of the particle density and kine tic pressure profiles in inhomogeneous one-dimensional systems of nonintera cting fermions, and apply it to harmonically confined systems of up to N = 1000 fermions. The method invokes a Green's function operator in coordinate space, which is handled by techniques originally developed for the calcula tion of the density of single-particle states from Green's functions in the energy domain. In contrast to the Thomas-Fermi approximation, the exact pr ofiles show negative local pressure in the tails and a prominent shell stru cture which may become accessible to observation in magnetically trapped ga ses of fermionic alkali atoms.