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Titlebook: Clifford Algebras and their Applications in Mathematical Physics; Volume 1: Algebra an Rafa? Ab?amowicz,Bertfried Fauser Book 2000 Springer

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發(fā)表于 2025-3-21 17:09:06 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Clifford Algebras and their Applications in Mathematical Physics
副標題Volume 1: Algebra an
編輯Rafa? Ab?amowicz,Bertfried Fauser
視頻videohttp://file.papertrans.cn/228/227352/227352.mp4
叢書名稱Progress in Mathematical Physics
圖書封面Titlebook: Clifford Algebras and their Applications in Mathematical Physics; Volume 1: Algebra an Rafa? Ab?amowicz,Bertfried Fauser Book 2000 Springer
描述The plausible relativistic physical variables describing a spinning, charged and massive particle are, besides the charge itself, its Minkowski (four) po- sition X, its relativistic linear (four) momentum P and also its so-called Lorentz (four) angular momentum E # 0, the latter forming four trans- lation invariant part of its total angular (four) momentum M. Expressing these variables in terms of Poincare covariant real valued functions defined on an extended relativistic phase space [2, 7J means that the mutual Pois- son bracket relations among the total angular momentum functions Mab and the linear momentum functions pa have to represent the commutation relations of the Poincare algebra. On any such an extended relativistic phase space, as shown by Zakrzewski [2, 7], the (natural?) Poisson bracket relations (1. 1) imply that for the splitting of the total angular momentum into its orbital and its spin part (1. 2) one necessarily obtains (1. 3) On the other hand it is always possible to shift (translate) the commuting (see (1. 1)) four position xa by a four vector ~Xa (1. 4) so that the total angular four momentum splits instead into a new orbital and a new (Pauli-Lubanski) spin
出版日期Book 2000
關鍵詞Mathematica; Spinor; algebra; clifford algebra; cohomology; differential equation; dynamics; geometry; invar
版次1
doihttps://doi.org/10.1007/978-1-4612-1368-0
isbn_softcover978-1-4612-7116-1
isbn_ebook978-1-4612-1368-0Series ISSN 1544-9998 Series E-ISSN 2197-1846
issn_series 1544-9998
copyrightSpringer Science+Business Media New York 2000
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沙發(fā)
發(fā)表于 2025-3-21 23:36:36 | 只看該作者
978-1-4612-7116-1Springer Science+Business Media New York 2000
板凳
發(fā)表于 2025-3-22 04:01:55 | 只看該作者
地板
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5#
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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).
6#
發(fā)表于 2025-3-22 14:01:36 | 只看該作者
Lucas Gumbi,Hossana Twinomurinzin developing and employing in our research on a Clifford algebra approach to hyperbolic geometry and automated geometry theorem proving. Our work shows that, following this approach, not only can we reformulate existing results with improvements and generalizations, but we also can make new discoveries
7#
發(fā)表于 2025-3-22 19:04:12 | 只看該作者
Lecture Notes in Computer Science geometry of spacetime itself may be dictated by the renormalization processes in quantum field theories. Two recently discovered and intimately related Hopf algebras — the Hopf algebra for the computation of the local index formula of transversally hypoelliptic operators and the algebra of renormalization — lie behind these ideas.
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發(fā)表于 2025-3-23 04:39:46 | 只看該作者
Quaternionic Spinsless particles on an equal footing. The resulting description has the correct number of spin/helicity states to be a generation of leptons. Furthermore, precisely three such generations naturally combine into an octonionic description of the 10-dimensional massless Dirac equation, as previously discussed in [1].
10#
發(fā)表于 2025-3-23 07:11:23 | 只看該作者
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