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Results tagged with dirac-equation
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user 61966
A fully relativistic (Lorentz covariant) description, first put forward by Paul Dirac in 1928, of the first quantized, spin one half fermion with nonzero mass. Physical notions to do with this equation include the Dirac sea, Dirac hole theory, the Klein Paradox and the fine structure of the Hydrogen spectrum.
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How to get second order equation for spinor (derivation from Dirac equation)?
Dirac equation with an Abelian symmetry can be written as $$(\gamma^{\mu}D_{\mu} - m)\psi = 0$$ where $$D_{\mu}\psi = (\partial_{\mu} - iqA_{\mu})\psi$$
Then how do we get this second order equation
$ …
- 2,218
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Help with a vector-spinor equation
How can I show that the equation
$$\gamma^{abc}\partial_{b}\psi_c=0$$
leads to
$$\partial_{b}\psi_{c}-\partial_{c}\psi_{b}=0?$$
I know that
$$\gamma^{abc}= \frac{1}{2}\{ \gamma^{a}, \gamma^{bc} \}$$ …
- 2,218
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Trying to understand the symmetries of higher dimensional $\gamma$-matrices
I am reading that there exists a unitary matrix $C$ (the charge conjugation) matrix such that each matrix $C\Gamma^{A}$ is either symmetric or anti-symmetric. Now, $\Gamma^{A} = \{ {\bf 1}, \gamma^{\m …
- 2,218