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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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Hermitian adjoint of 4-gradient in Dirac equation
I totally agree with the answers above, but there is a problem when you try to prove that the Hamiltonian operator is Hermitian. In fact, in the hermitian adjoint of the Dirac hamiltonian, the alpha-m …