Second order symmetry operators for the massive Dirac equation
Artikel i vetenskaplig tidskrift, 2023

Employing the covariant language of two-spinors, we find what conditions a curved four-dimensional Lorentzian spacetime must satisfy for existence of a second order symmetry operator for the massive Dirac equation. The conditions are formulated as existence of a set of Killing spinors satisfying a set of covariant linear differential equations. Using these Killing spinors, we then state 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 were used for the calculations.


symmetry operators

Dirac equation


Simon Jacobsson

KU Leuven

Student vid Chalmers

Thomas Bäckdahl

Chalmers, Matematiska vetenskaper, Analys och sannolikhetsteori

Classical and Quantum Gravity

0264-9381 (ISSN) 13616382 (eISSN)

Vol. 40 4 045009


Algebra och logik


Matematisk analys



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