APPLICATION OF SPINOR METHODS TO REIMANNIAN MANIFOLDS

Abstract

Generalized Pauli and Dirac matrices are derived for arbitrary Riemannian spaces. The determination of such matrices is based on the theory of transformations to principal axes, which is developed from a new point of view and expressed by explicit formulae. The relationship between tensors and spinors is defined in a very general way, and H. Weyl's theory of covariant spinor differentiation is generalized in accordance with the general tensor-spinor relationship.

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Document Details

Document Type
Technical Report
Publication Date
Sep 25, 1963
Accession Number
AD0423912

Entities

Organizations

  • University of Innsbruck

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Administrative Personnel
  • Algebra
  • Calculus
  • Coefficients
  • Coordinate Systems
  • Decomposition
  • Differential Equations
  • Dirac Equation
  • Eigenvalues
  • Electrons
  • Elementary Particles
  • Equations
  • General Relativity
  • Geometry
  • Government Procurement
  • Quantum Properties
  • Relativity Theory

Readers

  • Graph Algorithms and Convex Optimization.
  • Linear Algebra

Technology Areas

  • Space