Titlebook: Relativistic Quantum Mechanics; Wave Equations Walter Greiner Textbook 19901st edition Springer-Verlag Berlin Heidelberg 1990 Dirac equatio

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Wave Equations for Particles with Arbitrary Spins,equation with positive energy vanish in the case .. ≠ 0 in the rest system of the particles [cf. (6.13)]. Thus, for ...... (which means ..- = 0 when we are in the rest system) the spinor components are given by ..(0) = δ. and thus ..

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Lorentz Invariance and Relativistic Symmetry Principles,mation .., which relates each point with coordinates .. to new ones ... the absolute value should remain unchanged by this transformation (this is the fundamental, defining condition for orthogonal transformations), i.e. ..

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,A Wave Equation for Spin-1/2 Particles — The Dirac Equation,ite probability density. At that time there were doubts concerning the Klein-Gordon equation, which did not yield such probability density [see (1.29)]. The charge density interpretation was not known at that time and would have made little physical sense, because π. and π. mesons as charged spin-0

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Bilinear Covariants of the Dirac Spinors,the Dirac matrices and their products. We write and verify step by step the postulated properties of the . as well as some extra ones (also cf. Example 3.1). First we shall prove that in (5.1) there are indeed 16 matrices. This is easily done by adding the values written in brackets below the symbol

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