Derivation From Dirac Equation
The Dirac equation has the form
In order to derive the form of the four-spinor we have to first note the value of the matrices α and β:
These two 4×4 matrices are related to the Dirac gamma matrices. Note that 0 and I are 2×2 matrices here.
The next step is to look for solutions of the form
- ,
while at the same time splitting ω into two two-spinors:
- .
Read more about this topic: Dirac Spinor
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