Two-spinors and Symmetry Operators
Typ
Examensarbete för masterexamen
Program
Publicerad
2021
Författare
Jacobsson, Simon Stefanus
Modellbyggare
Tidskriftstitel
ISSN
Volymtitel
Utgivare
Sammanfattning
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.
Beskrivning
Ämne/nyckelord
symmetry operator, dirac equation, spin 1/2, classical quantum gravity, Killing spinor, two-spinor, spinor algebra, computer algebra, Mathematica, xAct