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  2. Multipactor effect - Wikipedia

    en.wikipedia.org/wiki/Multipactor_effect

    Consider a point in time at which electrons have just collided with electrode A at position -d/2. The electric field is at zero and is beginning to point to the left so that the newly freed electrons are accelerated toward the right. Newton's equation of motion of the free electrons is = ()

  3. Elliptic curve point multiplication - Wikipedia

    en.wikipedia.org/wiki/Elliptic_curve_point...

    Given a curve, E, defined by some equation in a finite field (such as E: y 2 = x 3 + ax + b), point multiplication is defined as the repeated addition of a point along that curve. Denote as nP = P + P + P + … + P for some scalar (integer) n and a point P = (x, y) that lies on the curve, E. This type of curve is known as a Weierstrass curve.

  4. Bohr–Sommerfeld model - Wikipedia

    en.wikipedia.org/wiki/Bohr–Sommerfeld_model

    Orbitals of the Radium. (End plates to [1]) 5 electrons with the same principal and auxiliary quantum numbers, orbiting in sync. ([2] page 364) The Sommerfeld extensions of the 1913 solar system Bohr model of the hydrogen atom showing the addition of elliptical orbits to explain spectral fine structure.

  5. Multipole expansion - Wikipedia

    en.wikipedia.org/wiki/Multipole_expansion

    The total electrostatic interaction energy U AB between the two distributions is =. This energy can be expanded in a power series in the inverse distance of A and B. This expansion is known as the multipole expansion of U AB. In order to derive this multipole expansion, we write r XY = r Y − r X, which is a vector pointing from X towards Y.

  6. Electron mobility - Wikipedia

    en.wikipedia.org/wiki/Electron_mobility

    The resulting Lorentz force will accelerate the electrons (n-type materials) or holes (p-type materials) in the (−y) direction, according to the right hand rule and set up an electric field ξ y. As a result there is a voltage across the sample, which can be measured with a high-impedance voltmeter. This voltage, V H, is called the Hall voltage.

  7. Exchange interaction - Wikipedia

    en.wikipedia.org/wiki/Exchange_interaction

    (3), is the two-site two-electron Coulomb integral (It may be interpreted as the repulsive potential for electron-one at a particular point () in an electric field created by electron-two distributed over the space with the probability density ()), [a] is the overlap integral, and is the exchange integral, which is similar to the two-site ...

  8. Photon polarization - Wikipedia

    en.wikipedia.org/wiki/Photon_polarization

    A birefringent crystal is a material that has an optic axis with the property that the light has a different index of refraction for light polarized parallel to the axis than it has for light polarized perpendicular to the axis. Light polarized parallel to the axis are called "extraordinary rays" or "extraordinary photons", while light ...

  9. Feynman diagram - Wikipedia

    en.wikipedia.org/wiki/Feynman_diagram

    (from the expansion of the exponential, there are two X s) and two factors of 4!. The contribution is multiplied by ⁠ 4! / 2 × 4! × 4! ⁠ = ⁠ 1 / 48 ⁠. Another example is the Feynman diagram formed from two X s where each X links up to two external lines, and the remaining two half-lines of each X are joined to each other.