• 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...
    11 KB (1,726 words) - 19:50, 6 May 2025
  • In quantum chemistry and molecular physics, the Born–Oppenheimer (BO) approximation is the assumption that the wave functions of atomic nuclei and electrons...
    30 KB (5,064 words) - 09:43, 4 May 2025
  • The Born–Huang approximation is an approximation closely related to the Born–Oppenheimer approximation. It takes into account diagonal nonadiabatic effects...
    3 KB (401 words) - 11:30, 15 May 2025
  • 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...
    4 KB (742 words) - 08:11, 17 December 2022
  • Rayleigh–Gans approximation, also known as Rayleigh–Gans–Debye approximation and Rayleigh–Gans–Born approximation, is an approximate solution to light...
    9 KB (1,215 words) - 23:06, 24 December 2024
  • The Cauchy–Born rule or Cauchy–Born approximation is a basic hypothesis used in the mathematical formulation of solid mechanics which relates the movement...
    5 KB (570 words) - 11:29, 15 May 2025
  • Thumbnail for Physical optics
    calculate the transmitted or scattered field. This resembles the Born approximation, in that the details of the problem are treated as a perturbation...
    5 KB (608 words) - 10:50, 30 April 2024
  • 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...
    8 KB (1,443 words) - 15:03, 12 June 2025
  • Thumbnail for Gravitational lensing formalism
    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...
    24 KB (5,185 words) - 22:40, 15 March 2025
  • 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)}...
    5 KB (742 words) - 05:28, 28 May 2025
  • Thumbnail for Grazing-incidence small-angle scattering
    angle of the sample, and the scattering theory, the distorted wave Born approximation (DWBA). However, while diffuse reflectivity remains confined to the...
    15 KB (1,648 words) - 16:23, 16 March 2024
  • Thumbnail for Bremsstrahlung
    _{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...
    50 KB (9,441 words) - 22:27, 19 June 2025
  • from the more commonly used generalized Born approximation. The Generalized Born (GB) model is an approximation to the exact (linearized) Poisson-Boltzmann...
    34 KB (4,489 words) - 00:24, 3 August 2024
  • Thumbnail for Coulomb's law
    non-relativistic limit between two charged particles, as follows: Under Born approximation, in non-relativistic quantum mechanics, the scattering amplitude A...
    42 KB (6,654 words) - 08:04, 9 June 2025
  • 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...
    23 KB (3,804 words) - 12:58, 28 May 2025
  • perturbation series can be applied; the lowest order is called the Born approximation. For a spherically symmetric scattering center, the plane wave is...
    7 KB (1,214 words) - 19:09, 19 April 2025
  • perturbation series can be applied; the lowest order is called the Born approximation. An isolated point charge creates an electric field that extends to...
    70 KB (9,870 words) - 14:42, 9 June 2025
  • Kinematic diffraction is an approximation for diffraction of waves. It assumes that the waves are only scattered once, neglecting multiple scattering...
    3 KB (382 words) - 02:54, 25 May 2025
  • Thumbnail for Neutron scattering
    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...
    11 KB (1,354 words) - 04:21, 5 May 2025
  • Scattering and Overview The Born Approximation (Time-Dependent Description) Born Again (The Time-Independent Approximation) The Partial Wave Expansion...
    9 KB (806 words) - 12:03, 17 June 2025
  • diffraction, crystallography and scattering from real potentials within the Born approximation. Note that a twin operation (a.k.a. Opération de maclage) is equivalent...
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  • Thumbnail for Scattering
    solutions to scattering problems: partial wave analysis, and the Born approximation. Electromagnetic waves are one of the best known and most commonly...
    30 KB (3,725 words) - 05:56, 25 April 2025
  • Academic Press. van Hove, L. (1954). "Correlations in Space and Time and Born Approximation Scattering in Systems of Interacting Particles". Physical Review....
    4 KB (626 words) - 09:22, 6 December 2022
  • to dominate. Scattering in sea ice is frequently modelled with a Born approximation such as in strong fluctuation theory. Scattering coefficients calculated...
    14 KB (1,882 words) - 08:36, 25 July 2023
  • Thumbnail for Synthetic-aperture radar
    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...
    79 KB (11,260 words) - 07:13, 27 May 2025
  • Thumbnail for Semiconductor laser theory
    terms in the semiconductor Bloch equations are included in second-Born approximation. This microscopic model has the advantage of having predictive character...
    10 KB (1,239 words) - 08:14, 13 June 2025
  • atoms is needed to understand plasma energy loss mechanisms. The Born approximation cross sections work for energies above 200 eV; the Gryziński model...
    9 KB (1,019 words) - 16:53, 21 May 2025
  • electron configuration calculations. Compound nucleus Distorted Waves Born Approximation Optical model Lane, A. M.; Thomas, R. G. (1958-04-01). "R-Matrix Theory...
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  • 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...
    23 KB (4,269 words) - 15:18, 19 June 2025
  • Thumbnail for Magda Ericson
    Van Hove, Léon (1954-07-01). "Correlations in Space and Time and Born Approximation Scattering in Systems of Interacting Particles". Physical Review....
    20 KB (1,926 words) - 22:08, 19 June 2025