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
:
NorthHolland
,
2009
 
ISSN




03759601
 
DOI




10.1016/J.PHYSLETA.2008.12.072
 
Volume/pages




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




000269486700019
 
Full text (Publisher's DOI)




 
