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Simple Realizations of the Infinitesimal Generators of the Proper Orthochronous Inhomogeneous Lorentz Group for Mass Zero

Journal Article · · Journal of Mathematical Physics
DOI:https://doi.org/10.1063/1.1724240· OSTI ID:4825026
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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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Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
EUCLIDEAN SPACE
GROUP THEORY
MASS
RELATIVITY THEORY
SPIN