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On the calculation of covariant expressions for Dirac bilinears
European Physical Journal C: Particles and Fields, 2021 In this article, various approaches to calculate covariant expressions for the bilinears of Dirac spinors are presented. For this purpose, algebraic equations defining Dirac spinors are discussed.
M. A. Olpak, A. Özpineci
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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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Perturbational Analysis of Magnetic Force Theorem for Magnetic Exchange Interactions in Molecules and Solids [PDF]
MoleculesThere have been increasing efforts to compute magnetic exchange coupling constants for transition metal complexes and magnetic insulators using the magnetic force theorem and Green’s function-based linear response methods. These were originally conceived
Dong-Kyun Seo
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Comment on ‘Quantum correlations are weaved by the spinors of the Euclidean primitives’ [PDF]
Royal Society Open Science, 2022 I point out fundamental mathematical errors in the recent paper published in this journal ‘Quantum correlations are weaved by the spinors of the Euclidean primitives’ by Joy Christian.
R. D. Gill
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Real Clifford Algebras and Their Spinors for Relativistic Fermions
Universe, 2021 Real Clifford algebras for arbitrary numbers of space and time dimensions as well as their representations in terms of spinors are reviewed and discussed.
Stefan Floerchinger
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European Physical Journal C: Particles and Fields, 2021 We construct a mass dimension one fermionic field associated with flag-dipole spinors. These spinors are related to Elko (flag-pole spinors) by a one-parameter matrix transformation $${\mathcal {Z}}(z)$$ Z ( z ) where z is a complex number. The theory is
Cheng-Yang Lee
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On the k-Fibonacci and k-Lucas spinors [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 In this paper, we introduce a new family of sequences called the k-Fibonacci and k-Lucas spinors. Starting with the Binet formulas we present their basic properties, such as Cassini’s identity, Catalan’s identity, d’Ocagne's identity, Vajda's identity ...
Munesh Kumari +2 more
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Quantum correlations are weaved by the spinors of the Euclidean primitives [PDF]
Royal Society Open Science, 2018 The exceptional Lie group E8 plays a prominent role in both mathematics and theoretical physics. It is the largest symmetry group associated with the most general possible normed division algebra, namely, that of the non-associative real octonions, which—
Joy Christian
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Subliminal aspects concerning the Lounesto’s classification
European Physical Journal C: Particles and Fields, 2020 In the present communication we employ a split programme applied to spinors belonging to the regular and singular sectors of the Lounesto’s classification (Clifford algebras and spinors, Cambridge University Press, Cambridge), looking towards unveil how ...
R. J. Bueno Rogerio
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Spinor Equations of Successor Curves
Universal Journal of Mathematics and Applications, 2022 The aim of this study is to give spinor representation of successive curves in three-dimensional Euclidean space. In three dimensional Euclidean Space, the spinor representations of a curve with unit speed and a successor curve with the same arc length ...
Hilal Köse Öztaş, Tülay Erişir
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