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Second order symmet...
Second order symmetry operators for the massive Dirac equation
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- Jacobsson, S. (author)
- Katholieke Universiteit Leuven,Chalmers tekniska högskola,Chalmers University of Technology
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- Bäckdahl, Thomas, 1980 (author)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences,Chalmers tekniska högskola,Chalmers University of Technology
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(creator_code:org_t)
- 2023-02-01
- 2023
- English.
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In: Classical and Quantum Gravity. - : IOP Publishing. - 0264-9381 .- 1361-6382. ; 40:4
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Abstract
Subject headings
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- 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.
Subject headings
- NATURVETENSKAP -- Fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences (hsv//eng)
- NATURVETENSKAP -- Matematik -- Algebra och logik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Algebra and Logic (hsv//eng)
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Keyword
- Dirac equation
- symmetry operators
- spinors
- Astronomy & Astrophysics
- Physics
- spinors
Publication and Content Type
- ref (subject category)
- art (subject category)
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