Simple Realizations of the Infinitesimal Generators of the Proper Orthochronous Inhomogeneous Lorentz Group for Mass Zero
A realization of the infinitesimal generators for the mass-zero case of the proper orthochronous inhomogeneous Lorentz group is given explicitly for both continuous and discrete spin cases in terms of a uniform notation. The unitarity properties of the realization for the discrete spin case are noted. For the sake of completeness the infinitesimal generators for the case of nonzero mass are also given. Hence, realizations are included for all irreducible unitary representations of the inhomogeneous Lorentz group of physical interest. Since the irreducible representations of the two-dimensional Euclidean group play an important role in the massless case, simple realizations of the irreducible representations of the generators of this group are also given.
- Research Organization:
- Polytechnic Inst., Brooklyn
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-16-022765
- OSTI ID:
- 4825026
- Journal Information:
- Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 3 Vol. 3; ISSN JMAPAQ; ISSN 0022-2488
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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