An electron-positron equation of state based on table interpolation of the Helmholtz free energy is developed and analyzed. The interpolation scheme guarantees perfect thermodynamic consistency, independent of the interpolating function. The choice of a biquintic Hermite polynomial as the interpolating funct...
electron collision frequencyFokker Planck equationIn this paper we present a stochastic derivation of the Fokker-Planck equation for the speed distribution of electrons in a gas in an alternating electric field. Moreover, we derive the correct formula for the electron current density by two different...
The components of the four-velocity of the particle are related to the speed of light by the equation: $$\begin{aligned} u_\mu u^\mu = {\tilde{\sigma }} c^2. \end{aligned}$$ (9) This relation, referred to as the “weak equation” by Dirac, allows us to treat \(u^\mu ...
Electron Correlation in Molecules – ab initio Beyond Gaussian Quantum Chemistry Carlos Mario Granados-Castro, ... Dario M. Mitnik, in Advances in Quantum Chemistry, 2016 4.5 Linear Algebraic Method The linear algebraic method (LAM), developed by Collins and Schneider,120–121 has been applied suc...
2.(Mathematics)mathsa set of components, functions of the coordinates of any point in space, that transform linearly between coordinate systems. For three-dimensional space there are 3rcomponents, whereris the rank. A tensor of zero rank is a scalar, of rank one, a vector ...
Hydrodynamic analysis of electron motion in the cathode fall using a Monte Carlo simulation The exact mass, momentum, and energy conservation equations for electron transport in a dc glow are derived from the Boltzmann equation. A Monte Carlo part... M Dalvie,RT Farouki,S Hamaguchi,... - 《...
Generalized Appleton-Hartree Equation for Any Degree of Ionization and Application to the Ionosphere A generalized Appleton-Hartree equation is derived, applicable to any variation of electron collision frequency with electron speed and any degree of ioniz... Shkarofsky,P I. - 《Proceedings of the ...
ORGANIC reactions, of which the speed can be affected by the presence of a `polar' substituent in a molecule, have been classified into two groups, for each of which Nathan and Watsonhave suggested, from analysis of experimental data, an empirical equation to correlate the energy of activation...
How much energy, in megaelectronvolts, is released in this reaction? n+ 23592 U ---> 8936 Kr+ 14556 Ba +2n How long does it take to do 432 joules of work with 75 watts of power? What is the SI unit for kinetic energy? (a) How much more electrical energy is produced by the m...
is the electron current density in the co-moving frame. View article Optical properties and bandgaps from low loss EELS: Pitfalls and solutions M. Stöger-Pollach, in Micron, 2008 Substituting this into the Maxwell equations we read for the differential equations for the electric field (3)...