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dc.contributor.advisorMasood, Samina
dc.creatorGemmill, Jordan Thayer
dc.date.accessioned2022-02-23T15:51:28Z
dc.date.available2022-02-23T15:51:28Z
dc.date.created2021-08
dc.date.issued2021-08-02
dc.date.submittedAugust 2021
dc.identifier.urihttps://hdl.handle.net/10657.1/2627
dc.description.abstractGeometric Algebra is a unique variant of what is otherwise known as Clifford Algebra. In this work we show that the geometric algebra provides better tools to visualize physical problems, benefited by our natural geometric intuition. Geometric algebra provides a routine and systematic way to analyze physical systems. It is demonstrated that the calculations of magnetic moment with constant magnetic field and that of the oscillating magnetic field, can both be expressed in a single expression. Using the geometric algebra we reproduce the solutions of Schrodinger’s equation in quantum mechanics, and show that the spacetime algebra can express Dirac’s equation without the use of imaginary numbers or matrices.
dc.format.mimetypeapplication/pdf
dc.language.isoen
dc.subjectGeometric Algebra
dc.subjectSpinors
dc.titleGeometric Spinors
dc.typeThesis
dc.date.updated2022-02-23T15:51:29Z
thesis.degree.grantorUniversity of Houston-Clear Lake
thesis.degree.levelMasters
thesis.degree.nameMaster of Science
dc.contributor.committeeMemberGarrison, David
dc.contributor.committeeMemberWithey, Paul
dc.type.materialtext


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  • Theses and Dissertations
    A collection of electronic theses, dissertations, and graduate projects created by graduates at the University of Houston-Clear Lake

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