Some examples of uses of Dirac equation and its generalizations in particle physics

Details Some examples of uses of Dirac equation and its generalizations in particle physics Some examples of uses of Dirac equation and its generalizations in particle physics

2010-04-13

arxiv.org/abs/1004.2116v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, talk at the 44 PNPI Winter School, 9-14 March, 2010, Roschino

Scientific paper

Applications of the Dirac equation with an anomalous magnetic moment are considered for description of characteristics of electrons, muons and quarks. The Dirac equation with four-dimensional scalar and vector potentials is reduced to a form suitable for a numerical integration. When a certain type of the potential is chosen, solutions can approximate quark states inside hadrons. In view of complicated behaviour of quarks in a confinement domain some generalizations are considered such as the Dirac-Gursey-Lee equation, the Dirac equation in a five-dimensional Minkowski space, the Dirac equation in a quantum phase space. Extended symmetries for the Dirac equation and its generalizations are considered, which can be used for investigation of properties of solutions of these equations and subsequent applications in particle physics.

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