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DIRAC
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Exempel på hur man kan använda DIRAC i en mening
- The theory of distributions clarified the (then) mysteries of the Dirac delta function and Heaviside step function.
- Friedrich Hirzebruch and Armand Borel had proved the integrality of the  genus of a spin manifold, and Atiyah suggested that this integrality could be explained if it were the index of the Dirac operator (which was rediscovered by Atiyah and Singer in 1961).
- In mathematics, a degenerate distribution (sometimes also Dirac distribution) is, according to some, a probability distribution in a space with support only on a manifold of lower dimension, and according to others a distribution with support only at a single point.
- Hund worked with such prestigious physicists as Erwin Schrödinger, Paul Dirac, Werner Heisenberg, Max Born, and Walther Bothe.
- Dirac graduated from the University of Bristol with a first class honours Bachelor of Science degree in electrical engineering in 1921, and a first class honours Bachelor of Arts degree in mathematics in 1923.
- As k goes to infinity, the Weibull distribution converges to a Dirac delta distribution centered at x = λ.
- Louis de Broglie, P A M Dirac, Eugene Paul Wigner, A O Barut, Alwyn Van der Merwe, Jean-Pierre Vigier: Quantum, space, and time — the quest continues: studies and essays in honour of Louis de Broglie, Paul Dirac, and Eugene Wigner, Cambridge Monographs on Physics,.
- All known fermions except neutrinos, are also Dirac fermions; that is, each known fermion has its own distinct antiparticle.
- The positron, the antimatter counterpart of the electron, was originally conceived of as a hole in the Dirac sea, before its experimental discovery in 1932.
- That theory was based in turn on the theory of projection-valued measures for self-adjoint operators that had been recently developed (by von Neumann and independently by Marshall Stone) and the Hilbert space formulation of quantum mechanics (attributed by von Neumann to Paul Dirac).
- In its free form, or including electromagnetic interactions, it describes all spin-1/2 massive particles, called "Dirac particles", such as electrons and quarks for which parity is a symmetry.
- Dirac Medal (ICTP), awarded by the Abdus Salam International Centre for Theoretical Physics, Trieste.
- Bra–ket notation, also called Dirac notation, is a notation for linear algebra and linear operators on complex vector spaces together with their dual space both in the finite-dimensional and infinite-dimensional case.
- The particle representation was first treated in detail by Paul Dirac for bosons and by Pascual Jordan and Eugene Wigner for fermions.
- The delta function was introduced by physicist Paul Dirac, and has since been applied routinely in physics and engineering to model point masses and instantaneous impulses.
- It is named after Enrico Fermi and Paul Dirac, each of whom derived the distribution independently in 1926.
- Although it turned out that modeling the electron's spin required the Dirac equation, the Klein–Gordon equation correctly describes the spinless relativistic composite particles, like the pion.
- The Whittaker–Shannon interpolation formula is mathematically equivalent to an ideal low-pass filter whose input is a sequence of Dirac delta functions that are modulated (multiplied) by the sample values.
- Singular supports may also be used to understand phenomena special to distribution theory, such as attempts to 'multiply' distributions (squaring the Dirac delta function fails – essentially because the singular supports of the distributions to be multiplied should be disjoint).
- This definition does not significantly change any of the properties of Green's function due to the evenness of the Dirac delta function.
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