the Born approximation consists of taking the incident field in place of the total field as the driving field at each point in the scatterer. The Born approximation...

In quantum chemistry and molecular physics, the Born–Oppenheimer (BO) approximation is the assumption that the wave functions of atomic nuclei and electrons...

The Born–Huang approximation is an approximation closely related to the Born–Oppenheimer approximation. It takes into account diagonal nonadiabatic effects...

Green's operator). It is closely related to Born approximation, which is the first order term of the Born series. The series can formally be understood...

Rayleigh–Gans approximation, also known as Rayleigh–Gans–Debye approximation and Rayleigh–Gans–Born approximation, is an approximate solution to light...

The Cauchy–Born rule or Cauchy–Born approximation is a basic hypothesis used in the mathematical formulation of solid mechanics which relates the movement...

At high energy were scattering is weak, an alternative called the Born approximation is used.: 507  A steady beam of particles scatters off a spherically...

calculate the transmitted or scattered field. This resembles the Born approximation, in that the details of the problem are treated as a perturbation...

angle of the sample, and the scattering theory, the distorted wave Born approximation (DWBA). However, while diffuse reflectivity remains confined to the...

The Mott–Bethe formula is an approximation used to calculate atomic electron scattering form factors, f e ( q , Z ) {\displaystyle f_{\text{e}}(q,Z)}...

trajectory by the potential along the undeflected trajectory, as in the Born approximation in quantum mechanics. The deflection is then α ^ → ( ξ → ) = 4 G c...

_{Z}\ll 1} , the quantum-mechanical Born approximation gives: g ff,Born = 3 π ln ⁡ 1 η ν {\displaystyle g_{\text{ff,Born}}={{\sqrt {3}} \over \pi }\ln {1...

from the more commonly used generalized Born approximation. The Generalized Born (GB) model is an approximation to the exact (linearized) Poisson-Boltzmann...

perturbation series can be applied; the lowest order is called the Born approximation. For a spherically symmetric scattering center, the plane wave is...

non-relativistic limit between two charged particles, as follows: Under Born approximation, in non-relativistic quantum mechanics, the scattering amplitude A...

the bath degrees of freedom. A simplifying assumption called the Born approximation rests on the largeness of the bath and the relative weakness of the...

perturbation series can be applied; the lowest order is called the Born approximation. An isolated point charge creates an electric field that extends to...

matter—nuclei having kinetic energies far below 1 eV—as a valid experimental approximation of an elastic collision with a particle at rest. With each collision...

Kinematic diffraction is an approximation for diffraction of waves. It assumes that the waves are only scattered once, neglecting multiple scattering...

Scattering and Overview The Born Approximation (Time-Dependent Description) Born Again (The Time-Independent Approximation) The Partial Wave Expansion...

diffraction, crystallography and scattering from real potentials within the Born approximation. Note that a twin operation (a.k.a. Opération de maclage) is equivalent...

solutions to scattering problems: partial wave analysis, and the Born approximation. Electromagnetic waves are one of the best known and most commonly...

to dominate. Scattering in sea ice is frequently modelled with a Born approximation such as in strong fluctuation theory. Scattering coefficients calculated...

neutron and the pion by making use of the Yukawa potential. We use the Born approximation, which tells us that, in a spherically symmetrical potential, we can...

a set of point targets that do not interact with each other (the Born approximation). While the details of various SAR algorithms differ, SAR processing...

terms in the semiconductor Bloch equations are included in second-Born approximation. This microscopic model has the advantage of having predictive character...

Academic Press. van Hove, L. (1954). "Correlations in Space and Time and Born Approximation Scattering in Systems of Interacting Particles". Physical Review....

electron configuration calculations. Compound nucleus Distorted Waves Born Approximation Optical model Lane, A. M.; Thomas, R. G. (1958-04-01). "R-Matrix Theory...

atoms is needed to understand plasma energy loss mechanisms. The Born approximation cross sections work for energies above 200 eV; the Gryziński model...

used to probe the distribution of the charge inside the sphere. The Born approximation of the diffraction of a beam of electrons by atomic nuclei is an extension...