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Titlebook: Clifford Algebras and their Applications in Mathematical Physics; Volume 1: Algebra an Rafał Abłamowicz,Bertfried Fauser Book 2000 Springer

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https://doi.org/10.1007/978-3-319-55206-4ditional applications use only homogeneous elements (elements of a single grade) to model physical entities such as spacetime vectors in relativity and their transformations. Lower-dimensional realizations of the structures inherent in physical systems are sometimes afforded by exploiting mixed-grad
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Rochelle Gladys Kemitare,Joshua Mugambwaich the ‘Pauli terms’ are formed. We find that these violate a basic axiom of any *-algebra when Dirac’s ψ is canonical. Then the Dirac operator is spanned only by the 10 elements 1, iγ5, γ., γ.γ5 (which don’t form a basis of .. because the σ. are excluded).
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Pradnya Vishwas Chitrao,Suruchi Pandeyess particle with a non-vanishing helicity [1]. A relativistic extended phase space of a massive spinning charged particle [2, 3] may be regarded as “embedded” in a two twistor phase space [4, 5, 6] . which is simply . with its diagonal deleted (in the sense of a symplectic reduction). We describe a
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https://doi.org/10.1007/978-3-319-41731-8 and the Pythagorean norm of the corresponding element . ∈ ℝ. are equal, ii) the “space” parts of . and . are proportional, and iii) the transformation properties of . are induced by those of .. With the aid of such a mapping, a new interpretation of the rest energy of a particle of special relativi
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