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  2. Dirac equation - Wikipedia

    en.wikipedia.org/wiki/Dirac_equation

    The Dirac equation is () = If the Dirac equation is to be covariant, then it should have exactly the same form in all Lorentz frames: ′ ′ (′) ′ (′) = The two spinors and ′ should both describe the same physical field, and so should be related by a transformation that does not change any physical observables (charge, current, mass, etc.

  3. File:Neomorphic Dirac Equation.pdf - Wikipedia

    en.wikipedia.org/wiki/File:Neomorphic_Dirac...

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  4. Dirac equation in curved spacetime - Wikipedia

    en.wikipedia.org/wiki/Dirac_equation_in_curved...

    An alternative version of the Dirac equation whose Dirac operator remains the square root of the Laplacian is given by the Dirac–Kähler equation; the price to pay is the loss of Lorentz invariance in curved spacetime. Note that here Latin indices denote the "Lorentzian" vierbein labels while Greek indices denote manifold coordinate indices.

  5. File:Dirac distribution PDF.svg - Wikipedia

    en.wikipedia.org/.../File:Dirac_distribution_PDF.svg

    Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts.

  6. Dirac spinor - Wikipedia

    en.wikipedia.org/wiki/Dirac_spinor

    In quantum field theory, the Dirac spinor is the spinor that describes all known fundamental particles that are fermions, with the possible exception of neutrinos.It appears in the plane-wave solution to the Dirac equation, and is a certain combination of two Weyl spinors, specifically, a bispinor that transforms "spinorially" under the action of the Lorentz group.

  7. Dirac delta function - Wikipedia

    en.wikipedia.org/wiki/Dirac_delta_function

    A Dirac comb is an infinite series of Dirac delta functions spaced at intervals of T A so-called uniform "pulse train" of Dirac delta measures, which is known as a Dirac comb , or as the Sha distribution, creates a sampling function, often used in digital signal processing (DSP) and discrete time signal analysis.

  8. Dirac bracket - Wikipedia

    en.wikipedia.org/wiki/Dirac_bracket

    Since the Dirac bracket respects the constraints, one need not be careful about evaluating all brackets before using any weak equations, as is the case with the Poisson bracket. Note that while the Poisson bracket of bosonic (Grassmann even) variables with itself must vanish, the Poisson bracket of fermions represented as a Grassmann variables ...

  9. Dirac (software) - Wikipedia

    en.wikipedia.org/wiki/Dirac_(software)

    Dirac is one of the most successful general-purpose quantum chemistry packages that provides accurate description of relativistic effects in molecules, using the Dirac equation as its starting point. [1] The program is available in source code form, at no cost, to the academic community.