Electric Field Distributions in an Ionized Gas. II

Abstract

W. H. FURRY AND N. F. RAMSEYfollowing statements can be made about the effects of the potentials in quantum theory : 1. These effects change only the phase of the wave function, and the phase changes are independent of the kinetic energy and kinetic momentum of the particle. Thus they are intrinsically quantum-mechanical effects, with no analog in classical theory.2. These effects do not affect the gauge invariance of the theory.3. These effects can have objective meaning only when they act differently on different parts of the wave function of the same particle. A classical particle could show effects of an electrostatic potential difference or a PHYSICAL REVIEW A method previously described is used to calculate the probability distribution of the low-frequency component of the electric field at a neutral point, the distribution of the low-frequency component at an ion, and that of the high-frequency component at an electron. The results are compared with those obtained by other authors. ELECTRIC FIELDDISTRIBUTIONS IN IONIZED GAS. II 627

Correlation effects and their influence on line broadening in plasmas: Application to Hα

“…Corrections to the Holtsmark microfield distribution [1], which is valid in the ideal-plasma limit, have been employed since the studies of Mozer and Baranger [2] and Hooper [3]. A convenient parameter to characterize the deviation of a plasma from ideality is the coupling parameter G, defined for a single-species gas of charged particles with charge z s and temperature T as…”

Electric Microfield Distributions in Li + Plasma With Account of the Ion Structure

“…Since that time much effort was put to include the collective effects into the theory of microfield distributions. The first remarkable advance was made by Baranger and Mozer [7,8] who wrote the distributions of the microfield components as expansions in terms of the correlation functions which then had been truncated at the pair correlation. However, it was argued that such an approach is valid only for low density, high-temperature plasmas where deviations from Holtsmark's original distribution are not large.…”

Electron density determination in the divertor volume of ASDEX Upgrade via Stark broadening of the Balmer lines

“…In the Schrödinger equation the electron contribution is described with a collision operator [17] and the ion contribution via an interaction Hamiltonian H = e r · E (linear Stark effect). For the electric field strengths produced by the ions we used the Mozer-Baranger distribution function [18,19], which is based on the Holtsmark distribution function [20] and additionally accounts for Debye shielding and ion-ion interactions. It should be noted here that the distribution function derived by Hooper [21,22] is similar to the one by Mozer-Baranger for our plasma conditions.…”