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

伤心

小步舞

Twistor Approach to Relativistic Dynamics and to the Dirac Equation — A Reviewess 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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Fiber with Intrinsic Action on a 1 + 1 Dimensional Spacetime . formed from the direct product of two copies of an element . in the .. = .. ⊗ .. finite group algebra over the real numbers. The fiber contains subspaces whose elements can be associated with the tangent and momentum vectors of trajectories in the manifold. The fiber also contains a subspace whos

大洪水

Dimensionally Democratic Calculus and Principles of Polydimensional Physicsh each geometric element has its own coordinate. This leads us to propose that all the laws of physics should obey new polydimensional metaprinciples, for which Clifford algebra is the natural language of expression, just as tensors were for general relativity. Specifically, phenomena and physical l

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palpitate

Clifford-Valued Clifforms: A Geometric Language for Dirac Equationstities” and of “the distinction, if any exists, between exterior forms and exterior differential forms.” The three series of indices that enter the . of the Kahler calculus are then interpreted..When endowed with a vector-valued potential (the potential and wave-function of electrodynamics being sca

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Doing Geometric Research with Clifford Algebran 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 discover

incisive

Clifford Algebra of Quantum Logicderstand why logic is connected with the standard model of physics and the quantum structure of spacetime, respectively. “It is not the substance which is in space,” as Alfred North Whitehead had pointed out, “but the attributes”. Accordingly, as we consider the Dirac algebra Mat(4, C), annihilation

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