Abstract
In this chapter we intend to illustrate the role of the Dirac equation in the general theory of unitary group representations. We show that the Dirac equation arises quite naturally in a construction of certain irreducible representations of the Poincaré covering group. Besides, we describe explicitly the behavior of wavefunctions ψ(x, t) under the transformations generated by H 0, P, J, and N (which represent the Poincaré Lie algebra, see Chapter 2).
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© 1992 Springer-Verlag Berlin Heidelberg
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Thaller, B. (1992). Induced Representations. In: The Dirac Equation. Texts and Monographs in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02753-0_3
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DOI: https://doi.org/10.1007/978-3-662-02753-0_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08134-7
Online ISBN: 978-3-662-02753-0
eBook Packages: Springer Book Archive