A space-time approach to quantum mechanics

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dc.contributor.advisorEllis, GFRen_ZA
dc.contributor.authorKirchner, Ulrichen_ZA
dc.date.accessioned2015-11-04T10:37:00Z
dc.date.available2015-11-04T10:37:00Z
dc.date.issued1999en_ZA
dc.descriptionIncludes bibliographical references.en_ZA
dc.description.abstractWe 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.identifier.apacitationKirchner, 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/11427/14639en_ZA
dc.identifier.chicagocitationKirchner, 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/11427/14639en_ZA
dc.identifier.citationKirchner, U. 1999. A space-time approach to quantum mechanics. University of Cape Town.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
dc.identifier.urihttp://hdl.handle.net/11427/14639
dc.identifier.vancouvercitationKirchner 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/11427/14639en_ZA
dc.language.isoengen_ZA
dc.publisher.departmentDepartment of Mathematics and Applied Mathematicsen_ZA
dc.publisher.facultyFaculty of Scienceen_ZA
dc.publisher.institutionUniversity of Cape Town
dc.subject.otherApplied Mathematicsen_ZA
dc.titleA space-time approach to quantum mechanicsen_ZA
dc.typeMaster Thesis
dc.type.qualificationlevelMasters
dc.type.qualificationnameMScen_ZA
uct.type.filetypeText
uct.type.filetypeImage
uct.type.publicationResearchen_ZA
uct.type.resourceThesisen_ZA
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