Enhancement of Electron Density around Positive Point Charges in Metals and Lifetimes of Positrons

March, N. H.; Murray, A. M.

doi:10.1103/physrev.126.1480

Cited by 5 publications

(1 citation statement)

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“…Institute of Physics ⌽ DEUTSCHE PHYSIKALISCHE GESELLSCHAFT of a single positive charge and pointed out that the density at the impurity position ρ(0) does not show any marked change due to the formation of a bound state [13]. Butler, and later Peierls, investigated the possibility of discontinuity in the physical variable ρ(0) = ρ bd (0) + ρ sc (0) when a new bound state is created in the screened field of an impurity in an electron gas [14,15].…”

Section: Introduction and Motivationsmentioning

confidence: 99%

Curvature of the total electron density at critical coupling: attractive impurity in an electron gas

Galindo¹,

Nágy²,

Muiño³

et al. 2006

New J. Phys.

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Abstract. Structural properties of the spherically averaged total charge density ρ λ (r) of a degenerate free electron gas distorted by the action of an attractive, screened potential λV(r) are studied. The total charge density is described as the sum over the occupied bound and scattering states of independent electrons moving in an effective central field. Each of the individual (bound, scattering) terms in the density presents discontinuities at threshold values of λ for which new bound states appear. Nevertheless, it is mathematically proven that these discontinuities cancel each other and that the density ρ λ (0) at the origin, as well as its two radial derivatives ρ λ (0) and ρ λ (0), are differentiable functions of λ for any λ 0. The smooth behaviour implies that the curvature ρ λ (0) at the origin does not provide a criterion for the bound-to-free transition in metallic environments.

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Section: Introduction and Motivationsmentioning

confidence: 99%

Curvature of the total electron density at critical coupling: attractive impurity in an electron gas

Galindo¹,

Nágy²,

Muiño³

et al. 2006

New J. Phys.

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Light particles interacting with organic molecules

March

1993

Int. J. Quantum Chem.

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Slow electron scattering from CH4, and thermal positrons annihilating with a variety of organic molecules, will first be discussed, the major role of molecular polarizability being the focal point. In the same context, initially neutral carbon clusters with an added, but now bound, electron will be considered, and in particular for C, the role of polarizability will again be stressed. Some attention will also be paid to electron-electron interaction in C , .Photoelectron spectroscopic data on ionization potentials for both linear and terminated polyacenes will then be briefly considered, both the role of hole localization and hole-hole interaction being referred to in these quasi-two-dimensional systems. Finally some directions for further work are proposed.

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A two-parameter model for the screening of a proton in an electron gas

Apagyi¹,

Nágy²

1988

J. Phys. C: Solid State Phys.

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Enhancement of Electron Density around Positive Point Charges in Metals and Lifetimes of Positrons

Abstract: high-energy relation between the two cross sections, in which relation K is an energy-independent factor. eB(l^) = eBK(l^)Cl+5/64(l+l/Z) 2 -5/12(l+l/Z)] = 0.535<2BKO), QBK=KE~«.

Cited by 5 publications

References 5 publications

Curvature of the total electron density at critical coupling: attractive impurity in an electron gas

Curvature of the total electron density at critical coupling: attractive impurity in an electron gas

Light particles interacting with organic molecules

A two-parameter model for the screening of a proton in an electron gas

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