Exchange-Only Theory: Relation Between Exchange Energy, Its Functional Derivative and Eigenvalue Sums in an Inhomogeneous Electron Liquid

1999 ◽  
Vol 37 (6) ◽  
pp. 671-676 ◽  
Author(s):  
Á. Nagy ◽  
N. H. March
Keyword(s):  
Functional Derivative ◽  
Exchange Energy ◽  
Theory Relation

Calculation of exchange energy in quantum dots : application to porous silicon

1993 ◽  
Vol 03 (C5) ◽  
pp. 355-358 ◽  
Author(s):  
G. FISHMAN ◽  
R. ROMESTAIN ◽  
J. C. VIAL
Keyword(s):  
Quantum Dots ◽  
Porous Silicon ◽  
Exchange Energy

POTENTIAL PRODUCTIVITY ADAPTIVE AGROPHUTOCENOZIS ON SLOPING LANDS OF THE STEPPE TRANS-URALS

2020 ◽  
Author(s):  
R.А. Idrisov ◽  
Keyword(s):  
Protein C ◽  
Nutritional Value ◽  
Energy Content ◽  
Single Species ◽  
Exchange Energy ◽  
Metabolic Energy ◽  
Potential Productivity ◽  
Maximum Productivity ◽  
Sloping Lands ◽  
Natural Herb

The correct construction of agrophytocenoses on the slopes of the steppe trans-Urals helped to create maximum productivity. In the arid climate, the most productive were the double mixtures of alfalfa with brittle sitnik, wheatgrass is syd, providing an average of 41.6 and 40.2 quintals per hectare (c/ha) of hay, 32.1 and 31.0 GJ/ha OE (exchange energy per hectare), 4.5 and 4.3 quintals per hectare of boiled protein (c/ha) over 5 years. Single-species steppe ecotypes, brittle sieve and wheatgrass sieve in productivity slightly gave way to double components, providing respectively hay- 32.2 and 37.2 cents per hectare, exchange energy 22.2 and 25.7 GJ/ha, digested protein 1.93 and 2.53 c/ha. The enrichment of agrophytocense by the legume component allowed to increase the metabolic energy content to the level of 32.1 and 31.0-GJ/ha, digested protein to 4.5 and 4.3 quintals per hectare, which is 14 times the nutritional value of the metabolic energy, the digested protein is 10 times higher than the natural herb.

Competition of two terms in exchange energy (A=A1+A2) for magnetic materials

2002 ◽  
Vol 124 (5-6) ◽  
pp. 215-219 ◽  
Author(s):  
Yongzhong Wang ◽  
Zhidong Zhang
Keyword(s):  
Magnetic Materials ◽  
Exchange Energy

scholarly journals On Certain Translation Invariant Properties of Interior Transmission Spectra and Their Doppler’s Effect

2017 ◽  
Vol 2017 ◽  
pp. 1-9
Author(s):  
Lung-Hui Chen
Keyword(s):  
Density Function ◽  
Functional Derivative ◽  
Index Of Refraction ◽  
Velocity Variation ◽  
Transmission Spectra ◽  
Motion Velocity ◽  
Translation Invariant ◽  
Eigenvalue Density ◽  
Position Variable ◽  
Invariant Properties

We study the translation invariant properties of the eigenvalues of scattering transmission problem. We examine the functional derivative of the eigenvalue density function Δ(x^) to the defining index of refraction n(x). By the limit behaviors in frequency sphere, we prove some results on the inverse uniqueness of index of refraction. In physics, Doppler’s effect connects the variation of the frequency/eigenvalue and the motion velocity/variation of position variable. In this paper, we proved the functional derivative ∂rΔx^=(1+nrx^)/π.

A reexamination of exchange energy functionals

1999 ◽  
Vol 111 (13) ◽  
pp. 5656-5667 ◽  
Author(s):  
Takao Tsuneda ◽  
Toshihisa Suzumura ◽  
Kimihiko Hirao
Keyword(s):  
Exchange Energy ◽  
Energy Functionals
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