Conservation sum rules for the quadratic density response function

1990 ◽  
Vol 42 (10) ◽  
pp. 6201-6203 ◽  
Author(s):  
Z. C. Tao ◽  
G. Kalman
Keyword(s):  
Response Function ◽  
Sum Rules ◽  
Density Response Function ◽  
Density Response

Sum rules for a bounded electron gas

1976 ◽  
Vol 54 (13) ◽  
pp. 1396-1408 ◽  
Author(s):  
A. Griffin ◽  
J. Harris
Keyword(s):  
Response Function ◽  
Sum Rules ◽  
Electron Gas ◽  
Sum Rule ◽  
Approximate Models ◽  
Density Response Function ◽  
Density Response ◽  
Infinite Barrier ◽  
Barrier Model

A discussion is given of the f-sum rule obeyed by the density response function of a bounded electron gas. Particular attention is given to approximate models for a jellium slab. We prove that RPA infinite barrier models (both classical and quantal) are perfectly consistent with the f-sum rule as well as the related dielectric sum rule. In addition, the classical infinite barrier model is shown to satisfy the surface sum rules of Inglesfield and Wikborg.

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