Unitary Representations of the inhomogeneous Lorentz Group and their Significance in Quantum Physics

Details Unitary Representations of the inhomogeneous Lorentz Group and their Significance in Quantum Physics Unitary Representations of the inhomogeneous Lorentz Group and their Significance in Quantum Physics

2008-09-29

arxiv.org/abs/0809.4942v1

Physics

Mathematical Physics

20 pages, invited talk at the conference Space and Time 100 Years after Minkowski, 7-12 September 2008, Physikzentrum Bad Honn

Scientific paper

In honor of Minkowski's great contribution to Special Relativity, celebrated at this conference, we first review Wigner's theory of the projective irreducible representations of the inhomogeneous Lorentz group. We also sketch those parts of Mackey's mathematical theory on induced representations which are particularly useful for physicists. As an important application of the Wigner-Mackey theory, we shall describe in a unified manner free classical and quantum fields for arbitrary spin, and demonstrate that locality implies the normal spin-statistics connection.

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