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Poincaré Group and the Invariant Relativistic Equations for Massive Particles of Any Spin
1.A. S. Wightman, in Les Houches Lectures (Hermann & Cie., Paris, 1960). We follow in this section the notations used here.
2.The homomorphism is between and the restricted Lorentz group see the Appendix. See also Ref. 1 or A. J. Macfarlane, J. Math. Phys. 3, 1116 (1962).
3.E. P. Wigner, Ann. Math. 40, 149 (1939).
3.Another realization which considers the tensor product of the representation and the representation of the homogeneous Lorentz group has been given by R. Shaw [Nuovo Cimento 33, 1074 (1964)].
4.A. Chakrabarti, J. Math. Phys. 4, 1215 (1963).
5.V. Bargmann and E. P. Wigner, Proc. Natl. Acad. Sci. U.S. 34, 211 (1948).
6.A similar procedure to that given here has been used by Pursey to generalize the Foldy‐Wouthuysen transformation [D. L. Pursey, Nucl. Phys. 53, 174 (1964)].
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