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Paul Dirac sought a relativistic quantum mechanics whose evolution equation remained first order in both time and spatial derivatives. A free-particle Hamiltonian $H=c\mathbf{\alpha }\cdot \mathbf{p}+\beta m{c}^2$ reproduces the relativistic relation $H^2=c^2{\mathbf{p}}^2+m^2{c}^4$ when its coefficient matrices satisfy suitable anticommutator identities. The required multi-component wave function incorporates electron spin within the relativistic dynamics. His 1928 paper used this construction to address the doubling of atomic states that earlier theories had treated by adding spin separately.^[ref]

A physicist who developed a relativistic theory of the electron. He shared the Nobel Prize in Physics in 1933 with Erwin Schrödinger.^[ref]

Willis Lamb and Robert Curtis Retherford measured a small separation between hydrogen energy levels that the simplest relativistic quantum mechanics placed at equal energy. Their 1947 experiment used microwave transitions involving metastable atoms, rather than trying to resolve the separation in an ordinary optical line. The Lamb shift required improved quantum electrodynamics, including the interaction of an electron with the quantized electromagnetic field. A small spectral discrepancy thereby became a quantitative test of the theory.^[ref]

A physicist.^[ref][ref]