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THE REPRESENTATIONS OF THE INHOMOGENEOUS LORENTZ GROUP IN TERMS OF AN ANGULAR MOMENTUM BASIS

Journal Article · · Journal of Mathematical Physics (New York) (U.S.)
DOI:https://doi.org/10.1063/1.1704120· OSTI ID:4081194

The irreducible ray representations of the proper, orthochronous, inhomogeneous Lorentz group were originally given by Wigner in terms of a basis in which the energy and linear momenta are diagonal. It is shown how the infinitesinal generators of the irreducible representations act on a basis in which the energy, the square of the angular momentum, the component of the angular momentum along the z axis, and the helicity (or circular polarization) are diagonal. Representations corresponding to particles of nonzero mass and any spin, and of zero mass and finite spin are considered. (auth)

Research Organization:
Polytechnic Inst. of Brooklyn, N.Y.
Sponsoring Organization:
USDOE
NSA Number:
NSA-18-011004
OSTI ID:
4081194
Journal Information:
Journal of Mathematical Physics (New York) (U.S.), Journal Name: Journal of Mathematical Physics (New York) (U.S.) Vol. Vol: 5; ISSN JMAPA
Country of Publication:
Country unknown/Code not available
Language:
English

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