Two-spinors and Symmetry Operators

Examensarbete för masterexamen

Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.12380/302563
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Type: Examensarbete för masterexamen
Title: Two-spinors and Symmetry Operators
Authors: Jacobsson, Simon Stefanus
Abstract: Abstract This thesis employs spinor techniques to find what conditions a curved spacetime must satisfy for there to exist a second order symmetry operator for the massive Dirac equation. Conditions are of the form of the existence of a set of Killing spinors satisfying some set of covariant differential equations. These conditions then describe the most general form of such an operator. Partial results for the zeroth and first order are presented and interpreted as well. Computer algebra tools from the Mathematica package suite xAct are used to perform decompositions and simplifications of expressions involving spinors.
Keywords: symmetry operator, dirac equation, spin 1/2, classical quantum gravity, Killing spinor, two-spinor, spinor algebra, computer algebra, Mathematica, xAct
Issue Date: 2021
Publisher: Chalmers tekniska högskola / Institutionen för matematiska vetenskaper
URI: https://hdl.handle.net/20.500.12380/302563
Collection:Examensarbeten för masterexamen // Master Theses



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