Two-spinors and Symmetry Operators

dc.contributor.author	Jacobsson, Simon Stefanus
dc.contributor.department	Chalmers tekniska högskola / Institutionen för matematiska vetenskaper	sv
dc.contributor.examiner	Calogero, Simone
dc.contributor.supervisor	Bäckdahl, Thomas
dc.date.accessioned	2021-06-16T12:22:19Z
dc.date.available	2021-06-16T12:22:19Z
dc.date.issued	2021	sv
dc.date.submitted	2020
dc.description.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.	sv
dc.identifier.coursecode	MVEX03	sv
dc.identifier.uri	https://hdl.handle.net/20.500.12380/302563
dc.language.iso	eng	sv
dc.setspec.uppsok	PhysicsChemistryMaths
dc.subject	symmetry operator, dirac equation, spin 1/2, classical quantum gravity, Killing spinor, two-spinor, spinor algebra, computer algebra, Mathematica, xAct	sv
dc.title	Two-spinors and Symmetry Operators	sv
dc.type.degree	Examensarbete för masterexamen	sv
dc.type.uppsok	H

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