Geometric Spinors

dc.contributor.advisor	Masood, Samina
dc.contributor.committeeMember	Garrison, David
dc.contributor.committeeMember	Withey, Paul
dc.creator	Gemmill, Jordan Thayer
dc.date.accessioned	2022-02-23T15:51:28Z
dc.date.available	2022-02-23T15:51:28Z
dc.date.created	2021-08
dc.date.issued	2021-08-02
dc.date.submitted	August 2021
dc.date.updated	2022-02-23T15:51:29Z
dc.description.abstract	Geometric 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.mimetype	application/pdf
dc.identifier.uri	https://hdl.handle.net/10657.1/2627
dc.language.iso	en
dc.subject	Geometric Algebra
dc.subject	Spinors
dc.title	Geometric Spinors
dc.type	Thesis
dc.type.material	text
thesis.degree.grantor	University of Houston-Clear Lake
thesis.degree.level	Masters
thesis.degree.name	Master of Science

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