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Titlebook: Quantum Mechanics in the Geometry of Space-Time; Elementary Theory Roger Boudet Book 2011 Roger Boudet 2011 Algebraic Languages.Clifford Al

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发表于 2025-3-21 16:22:06 | 显示全部楼层 |阅读模式
书目名称Quantum Mechanics in the Geometry of Space-Time
副标题Elementary Theory
编辑Roger Boudet
视频video
概述Represents the most complete treatment of relativistic quantum mechanics in terms of real spacetime algebra.Demonstrates practical advantages of STA theory.Shows how to incorporate electroweak theory
丛书名称SpringerBriefs in Physics
图书封面Titlebook: Quantum Mechanics in the Geometry of Space-Time; Elementary Theory Roger Boudet Book 2011 Roger Boudet 2011 Algebraic Languages.Clifford Al
描述This book continues the fundamental work of Arnold Sommerfeld and David Hestenes formulating theoretical physics in terms of Minkowski space-time geometry. We see how the standard matrix version of the Dirac equation can be reformulated in terms of a real space-time algebra, thus revealing a geometric meaning for the “number i” in quantum mechanics. Next, it is examined in some detail how electroweak theory can be integrated into the Dirac theory and this way interpreted in terms of space-time geometry. Finally, some implications for quantum electrodynamics are considered. The presentation of real quantum electromagnetism is expressed in an addendum. The book covers both the use of the complex and the real languages and allows the reader acquainted with the first language to make a step by step translation to the second one.
出版日期Book 2011
关键词Algebraic Languages; Clifford Algebra; Dirac Theory of the Electron; Euclidean space; Gauge and the Yang
版次1
doihttps://doi.org/10.1007/978-3-642-19199-2
isbn_softcover978-3-642-19198-5
isbn_ebook978-3-642-19199-2Series ISSN 2191-5423 Series E-ISSN 2191-5431
issn_series 2191-5423
copyrightRoger Boudet 2011
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发表于 2025-3-21 23:29:56 | 显示全部楼层
Introduction,This chapter is devoted to the replacement of the complex matrices and spinors language by the use of the real Clifford algebra associated with the Minkowski space-time.
发表于 2025-3-22 03:28:49 | 显示全部楼层
The Clifford Algebra Associated with the Minkowski Space–Time ,This Chapter is devoted to the first elements of the Clifford algebra . of the Minkowski space–time . when they are applied to quantum mechanics. A complete description of the Clifford algebra associated with all euclidean space lies in ..
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Geometrical Properties of the U(1) GaugeA change of gauge and the condition of a gauge invariance, as well on the wave function of a particle, as upon a potential vector acting on the particle, is recalled for the complex language and established for the real one.
发表于 2025-3-22 16:37:14 | 显示全部楼层
Relation Between the U(1) Gauge, the Spin and the Energy of a Particle of Spin 1/2Real language allows one to put in evidence the relation between the U(1) Gauge, the Spin and the Energy of a particle of spin 1/2.
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Geometrical Properties of the SU(2) Gauge and the Associated Momentum–Energy TensorA change of gauge and the condition of a gauge invariance, both on the wave function of a particle and upon a potential vector acting on the particle, is recalled for the complex language and established for the real one.
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