Remarks on Local Energy and Perturbations

2000 ◽  
Vol 55 (11-12) ◽  
pp. 912-914
Author(s):  
M. G. Marmorino
Keyword(s):  
Energy Method ◽  
Upper Bounds ◽  
Local Energy ◽  
Large Systems ◽  
Soluble Base

Abstract The local energy is first reviewed and compared with the expected energy. We then present the perturbative local energy method which uses an exactly soluble base problem and a perturbing potential to greatly simplify the expression of the local energy. This is demonstrated with two-electron atoms for which the method gives upper bounds with errors from 18% for He to 4% for Ne8+. Finally a call to develop a local energy method for large systems is issued.

Local-Energy Method in Electronic Energy Calculations

1960 ◽  
Vol 32 (2) ◽  
pp. 313-317 ◽  
Author(s):  
Arthur A. Frost ◽  
Reid E. Kellogg ◽  
Earl C. Curtis
Keyword(s):  
Energy Method ◽  
Electronic Energy ◽  
Local Energy ◽  
Energy Calculations

Nonlinear parameters in the Least-Squares Local Energy Method

1968 ◽  
Vol 9 (4) ◽  
pp. 303-311 ◽  
Author(s):  
Donald K. Harriss ◽  
Ronald K. Roubal
Keyword(s):  
Least Squares ◽  
Energy Method ◽  
Local Energy ◽  
Nonlinear Parameters

Mathematical Properties of Frost's Local‐Energy Method

1966 ◽  
Vol 45 (2) ◽  
pp. 565-569 ◽  
Author(s):  
Richard E. Stanton ◽  
Robert L. Taylor
Keyword(s):  
Energy Method ◽  
Local Energy ◽  
Mathematical Properties

Energy of the Lithium Atom by the Least‐Squares Local Energy Method

1963 ◽  
Vol 39 (7) ◽  
pp. 1698-1702 ◽  
Author(s):  
B. M. Gimarc ◽  
A. A. Frost
Keyword(s):  
Least Squares ◽  
Energy Method ◽  
Lithium Atom ◽  
Local Energy
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