Title 



Bloch equation for the canonical density matrix in terms of its diagonal element: the Slater sum
 
Author 



 
Abstract 



In early work, March and Murray (MM) solved the Bloch equation for the canonical density matrix generated by a given potential V(r) using perturbation theory to all orders in V, the unperturbed problem being that of free homogeneous electrons. Here, we avoid perturbation theory by using, but now in one dimension, the MM differential equation for the socalled Slater sum S(x,À) for given V(x), to write the Bloch equation for C(x,x,À) in terms of its diagonal element C(x,x,À)x=x=S(x,À), where À=(kBT)−1. In the language of the Feynman propagator, À¨it where t is the time, and this propagator is then characterized solely by its diagonal element in one dimension. The connection with groundstate density functional theory is finally emphasized.   
Language 



English
 
Source (journal) 



Physics letters: A.  Amsterdam, 1967, currens  
Publication 



Amsterdam : 2009
 
ISSN 



03759601
 
Volume/pages 



373:18/19(2009), p. 16911692
 
ISI 



000269486700019
 
Full text (Publishers DOI) 


  
