On tensors and extensors having complex components

Date
1973
Authors
Nilsson, David O.
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Chapter one presents a brief summary of the mathematics and physics context of the theory, recalling the essential topics and notation of tensor and extensor analysis, as well as outlining historically Einstein's transition from classical mechanics to his relativistic formulation thereof and the subsequent developments of relativistic wave equations. Chapter two is an exposition of some work by Ghosh and by Craig, followed by further developments relating their definitions and theorems to prior theorems in tensor and extensor analysis due to Craig, Corson, van der Waerden, Infeld, and others. Chapter three is a further development of a generalization of the tensorial theory in chapter two. The term 'spin components of an extensor' is defined. Chapter four contains examples in which the spin extensor components (complex numbers or complex vectors, i.e., ordered number pairs or ordered (Gibbsian) vector pairs) have properties which are analogous to those of ordinary extensor components (numbers or vectors).

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