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The average electron momentum density and rigorous bounds to average electron densities for atoms and molecules

Chemical Physics Letters, 1986
Abstract The average electron density in momentum space, viz. 〈γ〉, where γ(p) is the electron momentum density, is defined and shown to be experimentally measureable. The connection is obtained via the relation 8π3〈γ〉 = ∝B2(s) ds, where B(s) is reciprocal form factor. The approximate relationships 〈p〉 = 2 〈r3〉/3π2 and 〈γ〉 = 2 〈r3〉/3π2 have been phase
Shridhar R. Gadre, Subhas J. Chakravorty
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A monitor of chord-averaged plasma density

Instruments and Experimental Techniques, 2006
A single-channel two-frequency chord-averaged density monitor for measuring the plasma density in tokamaks is described. The operating principle of the monitor is based on measuring the phase shift between two microwave signals at close frequencies transmitted through plasma along one and the same chord.
V. G. Petrov   +4 more
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Spherically and system-averaged pair density functional theory

The Journal of Chemical Physics, 2006
In a couple of recent papers Gori-Giorgi and Savin [Phys. Rev. A 71, 032513 (2005)] proposed a theory that provides simple radial equations to generate the spherically and system averaged pair density. In a recent density matrix functional theory [Á. Nagy, Phys. Rev.
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A formula for average foliage density

Australian Journal of Botany, 1967
Point quadrat readings, taken to assess density of foliage in a plant, determine a contact frequency function f. A formulais given expressing the average foliage density of the plant in terms of f. This is compared with the work of Philip, who determined from f using a foliage angle density function g and an approximate Fourier analysis.
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Local Dimensions, Average Densities and Self-Conformal Measures

Periodica Mathematica Hungarica, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Averaged density of states in disordered systems

Journal of Physics C: Solid State Physics, 1973
A continued fraction method is developed for calculating the averaged density of states in disordered systems. The Anderson model is treated specifically. No appeal is made to periodicity or Bloch's Theorem which is its consequence. The density of states correct up to moments of order 20 is calculated using the IBM 370 computer.
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