• quantum mechanics, a Dirac operator is a differential operator that is a formal square root, or half-iterate, of a second-order operator such as a Laplacian...
    9 KB (1,251 words) - 18:47, 29 April 2024
  • In particle physics, the Dirac equation is a relativistic wave equation derived by British physicist Paul Dirac in 1928. In its free form, or including...
    78 KB (12,993 words) - 08:07, 24 September 2024
  • study of Dirac operators, and Dirac type operators in analysis and geometry, together with their applications. Examples of Dirac type operators include...
    22 KB (3,393 words) - 03:48, 15 November 2022
  • Thumbnail for Dirac delta function
    In mathematical analysis, the Dirac delta function (or δ distribution), also known as the unit impulse, is a generalized function on the real numbers...
    94 KB (14,004 words) - 01:51, 12 September 2024
  • Thumbnail for Dirac sea
    The Dirac sea is a theoretical model of the electron vacuum as an infinite sea of electrons with negative energy, now called positrons. It was first postulated...
    14 KB (2,014 words) - 21:53, 23 August 2024
  • becomes +iħ  preceding the 3-momentum operator. This operator occurs in relativistic quantum field theory, such as the Dirac equation and other relativistic...
    14 KB (2,071 words) - 14:44, 24 August 2024
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    Paul Adrien Maurice Dirac OM FRS (/dɪˈræk/; 8 August 1902 – 20 October 1984) was an English mathematical and theoretical physicist who is considered to...
    88 KB (9,745 words) - 07:04, 13 September 2024
  • In mathematics, a Dirac spectrum, named after Paul Dirac, is the spectrum of eigenvalues of a Dirac operator on a Riemannian manifold with a spin structure...
    1 KB (134 words) - 07:29, 8 March 2024
  • \left\{\gamma ^{0},\gamma ^{1},\gamma ^{2},\gamma ^{3}\right\}\ ,} also called the Dirac matrices, are a set of conventional matrices with specific anticommutation...
    61 KB (7,233 words) - 00:33, 24 September 2024
  • position operator should necessarily be Dirac delta distributions, suppose that ψ {\displaystyle \psi } is an eigenstate of the position operator with eigenvalue...
    18 KB (3,125 words) - 04:12, 8 September 2024