VARIATIONAL CALCULATION WITH GENERAL DENSITY FUNCTIONAL TO SOLVE THE ELECTRONIC SCHRODINGER EQUATION DIRECTLY FOR GROUND STATE: A RECIPE FOR SELF-CONSISTENT FIELD SOLUTION

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KRISTYAN SANDOR

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Journal Paper

Paper Information

Journal: JOURNAL OF THEORETICAL AND APPLIED PHYSICS (IRANIAN PHYSICAL JOURNAL) Year:2013 | Volume:7 | Issue:- Page(s): 2-12

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Title

VARIATIONAL CALCULATION WITH GENERAL DENSITY FUNCTIONAL TO SOLVE THE ELECTRONIC SCHRODINGER EQUATION DIRECTLY FOR GROUND STATE: A RECIPE FOR SELF-CONSISTENT FIELD SOLUTION

Author(s)

KRISTYAN SANDOR | Issue Writer Certificate

Keywords

ONE-ELECTRON DENSITY

GROUND STATE TOTAL ELECTRONIC ENERGY

SELF-CONSISTENT FIELD SOLUTION OF DENSITY FUNCTIONAL

Abstract

Using orbital-free framework, a simple numerical optimization of the density functional for ground state electronic energy is described for any type of functional approximation, demonstrated via the example of linear combinations of homogeneous functionals of the density. The numerical recipe is given and analyzed for solution: Originating from the linear dependence of nuclear-electron attraction functional on ONE-ELECTRON DENSITY (Vne [ρ0 (r1)] =−SA=1, …, M ZAòρ0 (r1) rA1-1dr1), and a quadratic LCAO approximation for ρ0, the optimization can be done with iterative use of lin solver. This quadratic approximation, as simplest educated choice for ρ0, is compared and analyzed algebraically to the HF-SCF one in the Appendices. We call the attention that the introduction of a self-consistent field optimization of non-linear density functional is a new element in this part of the related, general theory.

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APA: Copy

KRISTYAN, SANDOR. (2013). VARIATIONAL CALCULATION WITH GENERAL DENSITY FUNCTIONAL TO SOLVE THE ELECTRONIC SCHRODINGER EQUATION DIRECTLY FOR GROUND STATE: A RECIPE FOR SELF-CONSISTENT FIELD SOLUTION. JOURNAL OF THEORETICAL AND APPLIED PHYSICS (IRANIAN PHYSICAL JOURNAL), 7(-), 2-12. SID. https://sid.ir/paper/318767/en

Vancouver: Copy

KRISTYAN SANDOR. VARIATIONAL CALCULATION WITH GENERAL DENSITY FUNCTIONAL TO SOLVE THE ELECTRONIC SCHRODINGER EQUATION DIRECTLY FOR GROUND STATE: A RECIPE FOR SELF-CONSISTENT FIELD SOLUTION. JOURNAL OF THEORETICAL AND APPLIED PHYSICS (IRANIAN PHYSICAL JOURNAL)[Internet]. 2013;7(-):2-12. Available from: https://sid.ir/paper/318767/en

IEEE: Copy

SANDOR KRISTYAN, “VARIATIONAL CALCULATION WITH GENERAL DENSITY FUNCTIONAL TO SOLVE THE ELECTRONIC SCHRODINGER EQUATION DIRECTLY FOR GROUND STATE: A RECIPE FOR SELF-CONSISTENT FIELD SOLUTION,” JOURNAL OF THEORETICAL AND APPLIED PHYSICS (IRANIAN PHYSICAL JOURNAL), vol. 7, no. -, pp. 2–12, 2013, [Online]. Available: https://sid.ir/paper/318767/en

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