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Results tagged with dirac-equation
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user 82497
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.
1
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0
answers
309
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Lorentz transformation and causality of the Dirac field
Consider the Dirac quantum field $$\psi(x) = \int \frac{d^{3}p}{(2\pi)^3} \frac{1}{\sqrt{2E_{\mathbb{p}}}} \sum_{s} [a^{s}_{\mathbb{p}}u^{s}(\mathbb{p})e^{-\mathrm{i}p \cdot x} + b^{s\dagger}_{\mathbb …
- 403
6
votes
1
answer
1k
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Wrong sign anticommutation relation for the Dirac field?
Consider the Dirac Lagrangian $$\mathcal{L}=\psi ^{\dagger }\gamma ^{0}\left(
\mathrm{i}\gamma ^{\rho }\partial _{\rho }-m\right) \psi .$$ The conjugate
momenta to $\psi ^{a}$ are defined, as usual, …
- 403