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space of spinors

См. также в других словарях:

  • Spinors in three dimensions — In mathematics, the spinor concept as specialised to three dimensions can be treated by means of the traditional notions of dot product and cross product. This is part of the detailed algebraic discussion of the rotation group… …   Wikipedia

  • Hilbert space — For the Hilbert space filling curve, see Hilbert curve. Hilbert spaces can be used to study the harmonics of vibrating strings. The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space. It… …   Wikipedia

  • Dirac equation in the algebra of physical space — v · Paravector algebra Applications in Physics …   Wikipedia

  • Twistor space — In mathematics, twistor space is the complex vector space of solutions of the twistor equation . It was described in the 1960s by Roger Penrose and MacCallum[1]. According to Andrew Hodges, twistor space is useful for conceptualizing the way… …   Wikipedia

  • Quaternionic vector space — A left (or right) quaternionic vector space is a left (or right) H module where H denotes the noncommutative ring of the quaternions.The space H n of n tuples of quaternions is both a left and right H module using the componentwise left and right …   Wikipedia

  • 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

  • Weyl-Brauer matrices — In mathematics, particularly in the theory of spinors, the Weyl Brauer matrices are an explicit realization of a Clifford algebra as a matrix algebra. They generalize to n dimensions the Pauli matrices. They are named for Richard Brauer and… …   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

  • Pure spinor — In a field of mathematics known as representation theory pure spinors are spinor representations of the special orthogonal group that are annihilated by the largest possible subspace of the Clifford algebra. They were introduced by Elie Cartan in …   Wikipedia

  • Spin structure — In differential geometry, a spin structure on an orientable Riemannian manifold allows one to define associated spinor bundles, giving rise to the notion of a spinor in differential geometry. Spin structures have wide applications to mathematical …   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

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