L. Serra et A. Puente, Magnetic Thomas-Fermi-Weizsacker model for quantum dots: A comparison withKohn-Sham ground states, EUR PHY J D, 14(1), 2001, pp. 77-81
The magnetic extension of the Thomas-Fermi-Weizsacker kinetic energy is use
d within density-functional-theory to numerically obtain the ground state d
ensities and energies of two-dimensional quantum dots. The results are thor
oughly compared with the microscopic Kohn-Sham ones in order to assess the
validity of the semiclassical method. Circular as well as deformed systems
are considered.