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Titlebook: Clifford (Geometric) Algebras; with applications to William E. Baylis Conference proceedings 1996 Birkhäuser Boston 1996 Albert Einstein.Ph

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书目名称Clifford (Geometric) Algebras
副标题with applications to
编辑William E. Baylis
视频video
图书封面Titlebook: Clifford (Geometric) Algebras; with applications to William E. Baylis Conference proceedings 1996 Birkhäuser Boston 1996 Albert Einstein.Ph
描述This volume is an outgrowth of the 1995 Summer School on Theoretical Physics of the Canadian Association of Physicists (CAP), held in Banff, Alberta, in the Canadian Rockies, from July 30 to August 12,1995. The chapters, based on lectures given at the School, are designed to be tutorial in nature, and many include exercises to assist the learning process. Most lecturers gave three or four fifty-minute lectures aimed at relative novices in the field. More emphasis is therefore placed on pedagogy and establishing comprehension than on erudition and superior scholarship. Of course, new and exciting results are presented in applications of Clifford algebras, but in a coherent and user-friendly way to the nonspecialist. The subject area of the volume is Clifford algebra and its applications. Through the geometric language of the Clifford-algebra approach, many concepts in physics are clarified, united, and extended in new and sometimes surprising directions. In particular, the approach eliminates the formal gaps that traditionally separate clas­ sical, quantum, and relativistic physics. It thereby makes the study of physics more efficient and the research more penetrating, and it sugges
出版日期Conference proceedings 1996
关键词Albert Einstein; Physics; Potential; Riemannian geometry; Theoretical physics; algebra; covariant derivati
版次1
doihttps://doi.org/10.1007/978-1-4612-4104-1
isbn_softcover978-1-4612-8654-7
isbn_ebook978-1-4612-4104-1
copyrightBirkhäuser Boston 1996
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Introduction,e called .. Complex numbers and quaternions (“hypercomplex numbers”), form two particularly simple geometric algebras. The aim of this introduction is to present a brief overview of Clifford algebras and their applications in physics.
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,Gravity I — Introduction, mathematically simpler to adopt a gauge theory approach at the outset. This will enable us to reach advanced applications without ever mentioning topics such as manifolds or tangent spaces. Indeed, we will never think of spacetime itself as doing anything peculiar, such as expanding, or deforming like a rubber sheet.
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Alberta, in the Canadian Rockies, from July 30 to August 12,1995. The chapters, based on lectures given at the School, are designed to be tutorial in nature, and many include exercises to assist the learning process. Most lecturers gave three or four fifty-minute lectures aimed at relative novices
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Non-Governmental Organizations,o a phase. However, the Weyl and Majorana spinors cannot be reconstructed using the Fierz identities alone. This paper introduces a new concept, the boomerang, for the reconstruction of the Weyl and Majorana spinors. This method reveals a new class of spinors residing in between the Weyl, Majorana and Dirac spinors, namely the flag-dipole spinors.
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Responding to Women Migrant‘s Needspendently of any further structure which may be assumed on V, such as a nondegenerate inner product induced by a quadratic form of arbitrary signature. Later we shall study the interelationship between the endomorphism algebra .(.) and a metric structure . · . on . for vectors ., . ∈ ..
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Linear Transformations,pendently of any further structure which may be assumed on V, such as a nondegenerate inner product induced by a quadratic form of arbitrary signature. Later we shall study the interelationship between the endomorphism algebra .(.) and a metric structure . · . on . for vectors ., . ∈ ..
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