Lorentz-Covariance of the Dirac Equation
A proper relativistic theory has to be Lorentz-covariant, i.e. its form has to be invariant under a transition from one inertial system to another one. To establish this we will first restate the essentials of Lorentz transformations and also refer to Chap. 14 for supporting group theoretical argumetns.
KeywordsDirac Equation Lorentz Transformation Linear Independence Inertial System Spatial Rotation
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- LORENTZ, Hendrik Antoon, Dutch physicist, * 18.7.1853 in Arnheim, † 4.2.1928 in Haarlem. Professor at Leiden, founded in 1895 the theory of electrons, with which he explained the Zeemann effect as well as the rotation of the plane of polarization of light in a magnetic field. He gave, furthermore, a first explanation of the results of the Michelson-Morley experiment (L. contraction) and established the Lorentz transformation. Together with P. Zeeman he was awarded the Nobel prize in physics in 1902.Google Scholar
- FEYNMAN, Richard Phillip, * 11.5.1918 in New York, † 15.2.1988 in Pasadena, professor at the California Institute of Technology in Pasadena. F. developed the Feynman graphs for the mathematical treatment of quantum field theory. In 1965 he was awarded the Nobel prize in physics (together with J. Schwinger and S. Tomonaga) for the development of the theory of quantum electrodynamics.Google Scholar