Symmetries and Further Properties of the Dirac Equation
In this and the following sections we shall investigate the symmetry properties of the Dirac equation in the presence of an electromagnetic potential. We begin by recalling the transformation behavior of spinors under passive and active transformations, as was described in Sect. 7.1. We will then address the transformation of the four-potential, and also investigate the transformation of the Dirac Hamiltonian.
KeywordsDirac Equation Time Reversal Lorentz Transformation Charge Conjugation Parity Transformation
Unable to display preview. Download preview PDF.
- 12.A more detailed discussion of experiments testing the invariance of the electromagnetic and strong interactions under C, P, and CP, and their violation by the weak interaction, can be found in D.H. Perkins, Introduction to High Energy Physics, 2nd ed., Addison-Wesley, London, 1982.Google Scholar
- 13.G. Lüders, Dan. Mat. Fys. Medd. 28, 5 (1954); Ann. Phys. (N.Y.) 2, 1 (1957)Google Scholar
- W. Pauli, in Niels Bohr and the development of physics, ed. by W. Pauli, L. Rosenfeld, and V. Weisskopf, McGraw Hill, New York, 1955Google Scholar
- 16.SR is known as the Racah time reflection operator, see J.M. Jauch and F. Rohrlich, The Theory of Photons and Electrons, p. 88, Springer, New York, 1980Google Scholar