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Abstract: In the context of non-commutative geometries, we develop a group Fourier transform for the Lie group SU(2). Our method is based on the Schwinger representation of the Lie algebra su(2) in te...
Abstract: Expository notes on Clifford algebras and spinors with a detailed discussion of Majorana, Weyl, and Dirac spinors. The paper is meant as a review of background material, needed, in particula...
Clifford Algebras and Spinors     Clifford Algebras  Spinors       2011/9/14
Expository notes on Clifford algebras and spinors with a detailed discussion of Majorana, Weyl, and Dirac spinors. The paper is meant as a review of background material, needed, in particular, in now ...
Abstract: We show that in the analytic category, given a Riemannian metric $g$ on a hypersurface of a smooth manifold, and a symmetric tensor $W$ on this hypersurface, $g$ can be locally extended to a...
We consider a geometric approach to field theory in which torsion is present beside gravity and also electrodynamics for the matter field equations, and we develop the consequences of the torsion-spi...
We present a comprehensive table of recurrence and differential relations obeyed by spin one-half spherical spinors (spinor spherical harmonics) $\Omega_{\kappa\mu}(\mathbf{n})$ used in relativistic ...
We present a comprehensive table of recurrence and differential relations obeyed by spin one-half spherical spinors (spinor spherical harmonics) μ(n) used in relativistic atomic.
Almost harmonic spinors     Almost harmonic spinors  math       2010/11/9
We show that any closed spin manifold not diffeomorphic to the two-sphere admits a sequence of volume-one-Riemannian metrics for which the smallest non-zero Dirac eigenvalue tends to zero. As an appli...
We present a comprehensive table of recurrence and differential relations obeyed by spin one-half spherical spinors (spinor spherical harmonics) $\Omega_{\kappa\mu}(\mathbf{n})$ used in relativistic ...
The first part of the paper reviews applications of 2-spinor methods to relativistic qubits (analogies between tetrads in Minkowski space and 2-qubit states, qubits defined by means of null directions...
Dark Spinors     Spinors  cosmology  dark matter  dark energy  elko       2010/3/17
This article will provide the reader a short introduction to dark spinors, which are ELKO spinors, eingenspinors of the charge conjugation operator, applied to dark matter/energy.
The Poincar´e superalgebra is introduced from a generalization of the Cartan’s triality principle based on the extension of Chevalley product, between semispinor spaces and even subspaces of the...
Spinors and Positive Mass     Spinors  Positive Mass       2010/4/15
As an example of how spinor methods can be applied to the positive-mass theorem, a simple, spinor-based proof of the theorem is presented for the case of a single black hole. Generalisations of the th...

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