F Gleisberg et al 2001 J. Phys. B: At. Mol. Opt. Phys. 34 4645 doi:10.1088/0953-4075/34/23/309
F Gleisberg1, W P Schleich2 and W Wonneberger1
Show affiliationsThe Wigner function W(z,k) for a model of interacting one-dimensional fermions confined to a harmonic trap is evaluated at zero temperature. The model considers two hyperfine states of the same fermionic species and treats the dominant interactions between the two using the bosonization method. Interactions substantially modify the shape of the Wigner function. Irrespective of the sign of the coupling constant, the Friedel oscillations inherent in the Wigner function are enhanced in the k-direction and suppressed in the z-direction.
Issue 23 (14 December 2001)
Received 20 August 2001
Published 21 November 2001
F Gleisberg et al 2001 J. Phys. B: At. Mol. Opt. Phys. 34 4645
L F Perondi 2005 J. Phys.: Condens. Matter 17 S4165
Wende Xiao et al 2002 J. Phys.: Condens. Matter 14 6321
F. Grundahl et al. 1999 ApJ 524 242
O Kaneko et al 1978 Plasma Phys. 20 1167
J Villarroel and A G Grandpierre 2005 J. Phys. B: At. Mol. Opt. Phys. 38 2601
Shun-Tong Chen et al 2009 J. Micromech. Microeng. 19 115033
E Batista et al 1996 J. Phys. A: Math. Gen. 29 6281
A N St J Farley and P D D'Eath 2005 Class. Quantum Grav. 22 3001
Yasuyuki Watabe et al. 2008 ApJ 677 895