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spinor notation

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  • Dirac spinor — In quantum field theory, the Dirac spinor is the bispinor in the plane wave solution of the free Dirac equation, where (in the units ) is a relativistic spin 1/2 field …   Wikipedia

  • Abstract index notation — is a mathematical notation for tensors and spinors that uses indices to indicate their types, rather than their components in a particular basis. The indices are mere placeholders, not related to any fixed basis, and in particular are non… …   Wikipedia

  • Van der Waerden notation — In theoretical physics, van der Waerden notation refers to the usage of two component spinors i.e. Weyl spinors in four spacetime dimensions. This is standard in twistor theory and supersymmetry. See also * Bartel Leendert van der Waerden …   Wikipedia

  • Newman–Penrose formalism — The Newman Penrose Formalism is a set of notation developed by Ezra T. Newman and Roger Penrose[1] for General Relativity. Their notation is an effort to treat General Relativity in terms of spinor notation, which introduces complex forms of the… …   Wikipedia

  • Newman-Penrose formalism — The Newman Penrose Formalism is a set of notation developed by Ezra T. Newman and Roger Penrose [cite journal | author= Ezra T. Newman and Roger Penrose | title=An Approach to Gravitational Radiation by a Method of Spin Coefficients |… …   Wikipedia

  • Gamma matrices — In mathematical physics, the gamma matrices, {γ0,γ1,γ2,γ3}, also known as the Dirac matrices, are a set of conventional matrices with specific anticommutation relations that ensure they generate a matrix representation of the Clifford algebra… …   Wikipedia

  • Dirac-Gleichung — Die Dirac Gleichung beschreibt in der Quantenmechanik die Eigenschaften und das Verhalten von Fermionen (Spin 1/2 Teilchen, zum Beispiel Elektronen) und berücksichtigt dabei die spezielle Relativitätstheorie. Sie wurde 1928 von Paul Dirac… …   Deutsch Wikipedia

  • Wave function — Not to be confused with the related concept of the Wave equation Some trajectories of a harmonic oscillator (a ball attached to a spring) in classical mechanics (A B) and quantum mechanics (C H). In quantum mechanics (C H), the ball has a wave… …   Wikipedia

  • Mathematics of general relativity — For a generally accessible and less technical introduction to the topic, see Introduction to mathematics of general relativity. General relativity Introduction Mathematical formulation Resources …   Wikipedia

  • Dirac operator — In mathematics and 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. The original case which concerned Paul Dirac was to factorise… …   Wikipedia

  • Glossary of tensor theory — This is a glossary of tensor theory. For expositions of tensor theory from different points of view, see:* Tensor * Classical treatment of tensors * Tensor (intrinsic definition) * Intermediate treatment of tensors * Application of tensor theory… …   Wikipedia

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