scholarly journals Time-dependent effective potential and exchange kernel of homogeneous electron gas

2013 ◽  
Vol 87 (16) ◽  
Author(s):  
V. U. Nazarov
Keyword(s):  
Effective Potential ◽  
Electron Gas ◽  
Time Dependent ◽  
Exchange Kernel

Absorption Model of Hydrogenic Atoms and Ions by Metal Surfaces

1995 ◽  
Vol 50 (10) ◽  
pp. 961-964
Author(s):  
O.S. Erkovitch ◽  
V.V. Komarov ◽  
A.M. Popova ◽  
M. Enderle ◽  
O. Melsheimer ◽  
...  
Keyword(s):  
Metal Surface ◽  
Effective Potential ◽  
Metal Surfaces ◽  
Density Functional ◽  
Particle Density ◽  
Electron Gas ◽  
Density Functional Method ◽  
Functional Method ◽  
Absorption Model

Abstract A model of the interaction of thermal atoms and ions with metal surfaces is presented. The model is based on the multi-particle density functional method. This method is applied to describe first the properties of the electron gas on the metal surface and second to analyze the effective potential of the Hydrogenium atom in the vicinity of the metal surface.

scholarly journals TIME-DEPENDENT CURRENT-DENSITY FUNCTIONAL THEORY FOR THE FRICTION OF IONS IN AN INTERACTING ELECTRON GAS

2008 ◽  
Vol 22 (22) ◽  
pp. 3813-3839 ◽  
Author(s):  
V. U. NAZAROV ◽  
J. M. PITARKE ◽  
Y. TAKADA ◽  
G. VIGNALE ◽  
Y.-C. CHANG
Keyword(s):  
Density Functional Theory ◽  
Current Density ◽  
Density Functional ◽  
Local Density ◽  
Electron Gas ◽  
Time Dependent ◽  
Functional Theory ◽  
A Value ◽  
Slow Ions ◽  
Nonlocal Nature

Due to the strongly nonlocal nature of fxc(r,r',ω), the scalar exchange and correlation (xc) kernel of the time-dependent density functional theory (TDDFT), the formula for Q the friction coefficient of an interacting electron gas (EG) for ions tends to give too large a value of Q for heavy ions in the medium- and low-density EG, if we adopt the local-density approximation (LDA) to fxc(r, r', ω), even though the formula itself is formally exact. We have rectified this unfavorable feature by reformulating the formula for Q in terms of the tensorialxc kernel of the time-dependent current-density functional theory, to which the LDA can be applied without intrinsic difficulty. Our numerical results find themselves in considerably better agreement with the experimental stopping power of Al and Au for slow ions than those previously obtained within the LDA to the TDDFT.

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