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Quantum Simulation
An introduction to spinors
arXiv
Authors: Andrew M. Steane
Year
2013
Paper ID
31439
Status
Preprint
Abstract Read
~2 min
Abstract Words
89
Citations
N/A
Abstract
We introduce spinors, at a level appropriate for an undergraduate or first year graduate course on relativity, astrophysics or particle physics. The treatment assumes very little mathematical knowledge (mainly just vector analysis and some idea of what a group is). The SU(2)--SO(3) homomorphism is presented in detail. Lorentz transformation, chirality, and the spinor Minkowski metric are introduced. Applications to electromagnetism, parity violation, and to Dirac spinors are presented. A classical form of the Dirac equation is obtained, and the (quantum) prediction that g=2 for Dirac particles is presented.
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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- We introduce spinors, at a level appropriate for an undergraduate or first year graduate course on relativity, astrophysics or particle physics.
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