Monopole
Encyclopedia
Monopole may refer to:
  • Magnetic monopole
    Magnetic monopole
    A magnetic monopole is a hypothetical particle in particle physics that is a magnet with only one magnetic pole . In more technical terms, a magnetic monopole would have a net "magnetic charge". Modern interest in the concept stems from particle theories, notably the grand unified and superstring...

    , or Dirac monopole, a hypothetical particle that may be loosely described as a magnet with only one pole, or related concepts in physics and mathematics:
    • Wu–Yang monopole, a monopole solution of Yang-Mills equations
    • 't Hooft–Polyakov monopole, analogous to Dirac monopole, but without singularities
    • Seiberg-Witten monopole, a solution of the Seiberg-Witten equations
    • Monopole (mathematics)
      Monopole (mathematics)
      In mathematics, a monopole is a connection over a principal bundle G with a section of the associated adjoint bundle. The connection and Higgs field should satisfy the Bogomolnyi equation and be of finite action....

      , a connection over a principal bundle G with a section (the Higgs field) of the associated adjoint bundle
  • Monopole (wine)
    Monopole (wine)
    A monopole is an area controlled by a single winery and can be as small as a lieu-dit or as large as an entire appellation d'origine contrôlée, such as Bordeaux or Champagne. Frequently this is mentioned on the label and it is rare for only one winery to produce all the wine from an area...

    , an appellation owned by only one winery
  • Monopole antenna
    Monopole antenna
    A monopole antenna is a class of radio antenna consisting of a straight rod-shaped conductor, often mounted perpendicularly over some type of conductive surface, called a ground plane. The driving signal from the transmitter is applied, or for receiving antennas the output voltage is taken,...

    , a radio antenna that replaces half of a dipole antenna with a ground plane at right-angles to the remaining half
  • A monopole, a common term for a tubular self-supporting telecommunications mast
    Radio masts and towers
    Radio masts and towers are, typically, tall structures designed to support antennas for telecommunications and broadcasting, including television. They are among the tallest man-made structures...

    , especially as distinguished from a lattice tower or pylon
  • A variable reluctance sensor
    Variable reluctance sensor
    A variable reluctance sensor , also called a monopole, is used to measure position and speed of moving metal components. This sensor consists of a permanent magnet, a ferromagnetic pole piece, a pickup coil, and a rotating toothed wheel....

     (VRS) used to measure position and speed of moving metal components.

See also

  • Monopoly (disambiguation)
    Monopoly (disambiguation)
    In Economics, a monopoly exists when a specific individual or enterprise has sufficient control over a particular product or service to determine significantly the terms on which other individuals shall have access to it.Monopoly may also refer to:...

  • Dipole
    Dipole
    In physics, there are several kinds of dipoles:*An electric dipole is a separation of positive and negative charges. The simplest example of this is a pair of electric charges of equal magnitude but opposite sign, separated by some distance. A permanent electric dipole is called an electret.*A...

  • Quadrupole
    Quadrupole
    A quadrupole or quadrapole is one of a sequence of configurations of—for example—electric charge or current, or gravitational mass that can exist in ideal form, but it is usually just part of a multipole expansion of a more complex structure reflecting various orders of complexity.-Mathematical...

  • Multipole expansion
    Multipole expansion
    A multipole expansion is a mathematical series representing a function that depends on angles — usually the two angles on a sphere. These series are useful because they can often be truncated, meaning that only the first few terms need to be retained for a good approximation to the original...

  • Multipole moments
    Multipole moments
    In mathematics, especially as applied to physics, multipole moments are the coefficients of a series expansion of a potential due to continuous or discrete sources . A multipole moment usually involves powers of the distance to the origin, as well as some angular dependence...

  • Solid harmonics
  • Axial multipole moments
    Axial multipole moments
    Axial multipole moments are a series expansionof the electric potential of acharge distribution localized close tothe origin along oneCartesian axis,denoted here as the z-axis...

  • Cylindrical multipole moments
    Cylindrical multipole moments
    Cylindrical multipole moments are the coefficients in a series expansion of a potential that varies logarithmically with the distance to a source, i.e., as \ln \ R...

  • Spherical multipole moments
    Spherical multipole moments
    Spherical multipole moments are the coefficients in a series expansionof a potential that varies inversely with the distance R to a source, i.e., as 1/R...

  • Laplace expansion
    Laplace expansion (potential)
    In physics, the Laplace expansion of a 1/r - type potential is applied to expand Newton's gravitational potential or Coulomb's electrostatic potential. In quantum mechanical calculations on atoms the expansion is used in the evaluation of integrals of the interelectronic repulsion.The Laplace...

  • Legendre polynomials
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