Results 21 to 30 of about 811 (264)
Spinor-Like Hamiltonian for Maxwellian Optics
EPJ Web of Conferences, 2016 Background. Spinors are more special objects than tensors. Therefore spinors possess more properties than the more generic objects such as tensors. The group of Lorentz two-spinors is the covering group of the Lorentz group. Purpose.
Kulyabov D.S.
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Algebraic and Dirac–Hestenes spinors and spinor fields [PDF]
Journal of Mathematical Physics, 2004 Almost all presentations of Dirac theory in first or second quantization in physics (and mathematics) textbooks make use of covariant Dirac spinor fields. An exception is the presentation of that theory (first quantization) offered originally by Hestenes and now used by many authors. There, a new concept of spinor field (as a sum of nonhomogeneous even
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Opening the Pandora’s box of quantum spinor fields
European Physical Journal C: Particles and Fields, 2018 Lounesto’s classification of spinors is a comprehensive and exhaustive algorithm that, based on the bilinears covariants, discloses the possibility of a large variety of spinors, comprising regular and singular spinors and their unexpected applications ...
L. Bonora +2 more
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Journal of Physics A: Mathematical and General, 2004 Solutions to the four-dimensional Euclidean Weyl equation in the background of a general JNR N-instanton are known to be normalisable and regular throughout four-space. We show that these solutions are asymptotically given by a linear combination of simple singular solutions to the free Weyl equation, which can be interpreted as localised spinors. The `
Manton, N. S., Schunck, A. F.
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Spinors in (Anti-)de Sitter Space
Journal of High Energy Physics, 2023 We explore analytical aspects of correlators involving Dirac spinors in d + 1-dimensional de Sitter space. Adapting the formalism of Sleight and Taronna, we show how to relate processes involving fermions in the in-in formalism to equivalent Witten ...
Vladimir Schaub
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Type-4 spinors: transmuting from Elko to single-helicity spinors
European Physical Journal C: Particles and Fields, 2019 In this communication we briefly report an unexpected theoretical discovery which emerge from the mapping of Elko mass-dimension-one spinors into single helicity spinors. Such procedure unveils a class of spinor which is classified as type-4 spinor field
C. H. Coronado Villalobos +2 more
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Universe, 2020 We show Zeeman-like splitting in the energy of spinors propagating in a background gravitational field, analogous to the spinors in an electromagnetic field, otherwise termed the Gravitational Zeeman Effect.
Banibrata Mukhopadhyay +1 more
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N = 4 near-horizon geometries in D = 11 supergravity
Journal of High Energy Physics, 2021 Extreme near-horizon geometries in D = 11 supergravity preserving four supersymmetries are classified. It is shown that the Killing spinors fall into three possible orbits, corresponding to pairs of spinors defined on the spatial cross-sections of the ...
D. Farotti, J. Gutowski
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On spinors transformations [PDF]
Journal of Mathematical Physics, 2016 We begin showing that for even dimensional vector spaces V all automorphisms of their Clifford algebras are inner. So all orthogonal transformations of V are restrictions to V of inner automorphisms of the algebra. Thus under orthogonal transformations P and T—space and time reversal—all algebra elements, including vectors v and spinors φ, transform as
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The Quarterly Journal of MathematicsABSTRACT We propose and develop a new method to classify orbits of the spin group ${\rm Spin}(2d)$ in the space of its semi-spinors. The idea is to consider spinors as being built as a linear combination of their pure constituents. As is well-known, two pure spinors can sum up to a pure spinor.
Niren Bhoja, Kirill Krasnov
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