A space-time approach to quantum mechanics

 

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dc.contributor.advisor Ellis, GFR en_ZA
dc.contributor.author Kirchner, Ulrich en_ZA
dc.date.accessioned 2015-11-04T10:37:00Z
dc.date.available 2015-11-04T10:37:00Z
dc.date.issued 1999 en_ZA
dc.identifier.citation Kirchner, U. 1999. A space-time approach to quantum mechanics. University of Cape Town. en_ZA
dc.identifier.uri http://hdl.handle.net/11427/14639
dc.description Includes bibliographical references. en_ZA
dc.description.abstract We present a systematic development and application of Geometric Algebra, an extended vector calculus. The entire algebraic structure, which is a graded Clifford algebra, is developed. To illustrate the derived results, examples are given for two and three dimensions. Here it becomes clear, how rotations and Lorentz boosts can be formulated in the Geometric Algebra. Further we realize that the Geometric Algebra contains elements, which can be used as representations of the complex unit. Having derived the necessary tools, we turn our attention to physics. We give applications to classical mechanics, quantum mechanics, ï¬ eld theory, curved manifolds, electromagnetism, and gravity as a gauge theory. en_ZA
dc.language.iso eng en_ZA
dc.subject.other Applied Mathematics en_ZA
dc.title A space-time approach to quantum mechanics en_ZA
dc.type Master Thesis
uct.type.publication Research en_ZA
uct.type.resource Thesis en_ZA
dc.publisher.institution University of Cape Town
dc.publisher.faculty Faculty of Science en_ZA
dc.publisher.department Department of Mathematics and Applied Mathematics en_ZA
dc.type.qualificationlevel Masters
dc.type.qualificationname MSc en_ZA
uct.type.filetype Text
uct.type.filetype Image
dc.identifier.apacitation Kirchner, U. (1999). <i>A space-time approach to quantum mechanics</i>. (Thesis). University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics. Retrieved from http://hdl.handle.net/11427/14639 en_ZA
dc.identifier.chicagocitation Kirchner, Ulrich. <i>"A space-time approach to quantum mechanics."</i> Thesis., University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 1999. http://hdl.handle.net/11427/14639 en_ZA
dc.identifier.vancouvercitation Kirchner U. A space-time approach to quantum mechanics. [Thesis]. University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 1999 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/14639 en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Kirchner, Ulrich AB - We present a systematic development and application of Geometric Algebra, an extended vector calculus. The entire algebraic structure, which is a graded Clifford algebra, is developed. To illustrate the derived results, examples are given for two and three dimensions. Here it becomes clear, how rotations and Lorentz boosts can be formulated in the Geometric Algebra. Further we realize that the Geometric Algebra contains elements, which can be used as representations of the complex unit. Having derived the necessary tools, we turn our attention to physics. We give applications to classical mechanics, quantum mechanics, ï¬ eld theory, curved manifolds, electromagnetism, and gravity as a gauge theory. DA - 1999 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 1999 T1 - A space-time approach to quantum mechanics TI - A space-time approach to quantum mechanics UR - http://hdl.handle.net/11427/14639 ER - en_ZA


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