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Physics LibreTexts

1: Introduction to the Poincaré Algebra

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  • To describe a Lorentz invariant physical system using quantum mechanics it is necessary to determine the Poincare generators of the system in terms of the fundamental dynamical variables of the system. In this chapter we present and comment on the the Poincare generators and the Poincare Algebra. Derivations and some definitions are given later: a Lorentz invariant physical system and Poincare transformations are defined and discussed in detail in Chapter 3 and the Poincare Algebra is derived in Chapter 4.