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spinor transformation

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  • Spinor —   [englisch] der, s/... noren, mehrkomponentige mathematische Größe mit komplexwertigen Komponenten, die sich unter einer Transformation der räumlichen Drehung oder unter einer Lorentz Transformation in bestimmter Weise ändern, ähnlich wie die… …   Universal-Lexikon

  • Spinor — In mathematics and physics, in particular in the theory of the orthogonal groups (such as the rotation or the Lorentz groups), spinors are elements of a complex vector space introduced to expand the notion of spatial vector. Unlike tensors, the… …   Wikipedia

  • Spinor field — In particle physics, a spinor field of order 2s describes a particle of spin s, where s is an integer or half integer. Therefore, a spinor of order 4s contains as much information as a tensor of order 2s. As a result of this, particles of integer …   Wikipedia

  • Weyl-Spinor — Ein Spinor ist in der Mathematik, und dort speziell in der Differentialgeometrie, ein Vektor in einer kleinsten Darstellung (ρ,V) einer Spin Gruppe. Die Spin Gruppe ist isomorph zu einer Teilmenge einer Clifford Algebra, jede Clifford Algebra ist …   Deutsch Wikipedia

  • Möbius transformation — Not to be confused with Möbius transform or Möbius function. In geometry, a Möbius transformation of the plane is a rational function of the form of one complex variable z; here the coefficients a, b, c, d are complex numbers satisfying ad − …   Wikipedia

  • Klein transformation — In quantum field theory, the Klein transformation is a redefinition of the fields to patch up the spin statistics theorem.Bose–EinsteinSuppose phi; and chi; are fields such that, if x and y are spacelike separated points and i and j represent the …   Wikipedia

  • Dirac equation — Quantum field theory (Feynman diagram) …   Wikipedia

  • Lorentz group — Group theory Group theory …   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

  • Spin (physics) — This article is about spin in quantum mechanics. For rotation in classical mechanics, see angular momentum. In quantum mechanics and particle physics, spin is a fundamental characteristic property of elementary particles, composite particles… …   Wikipedia

  • Supergravity — In theoretical physics, supergravity (supergravity theory) is a field theory that combines the principles of supersymmetry and general relativity. Together, these imply that, in supergravity, the supersymmetry is a local symmetry (in contrast to… …   Wikipedia

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