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Conditional probability density functional theory

delete2022-06-24
delete8
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OA
AI
R
Ryan Pederson *
J
Jielun Chen
S
Steven R. White
K
Kieron Burke
DOI:10.1103/PhysRevB.105.245138delete
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Abstract

Abstract

En 中文
We present conditional probability (CP) density functional theory (DFT) as a formally exact theory. In essence, CP-DFT determines the ground-state energy of a system by finding the CP density from a series of independent Kohn-Sham (KS) DFT calculations. By directly calculating CP densities, we bypass the need for an approximate XC energy functional. In this paper we discuss and derive several key properties of the CP density and corresponding CP-KS potential. Illustrative examples are used throughout to help guide the reader through the various concepts and theory presented. We explore a suitable CP-DFT approximation and discuss exact conditions, limitations, and results for selected examples.
Keywords:
TOP PAIR-DENSITY
ASYMPTOTIC-BEHAVIOR
EXCHANGE
ENERGY
SYSTEMS
MATRICES

Journal

Physical Review B cover
Physical Review B
IF:
3.7
Papers:
15.4W
Citations:
41.0W

Organization

University of California System cover
University of California System
Scholars:
37.5W
Papers: 33.7W
Citations: 6.6K