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Conserved Quantities Associated with Symmetry Transformations of Relativistic Free‐Particle Equations of Motion
1.See, for example, E. L. Hill, Rev. Mod. Phys. 23, 253 (1951).
2.P. A. M. Dirac, Proc. Roy. Soc. (London) A115, 447 (1936);
2.M. Fierz, Helv. Phys. Acta 12, 3 (1939);
2.M. Fierz and W. Pauli, Proc. Roy. Soc. (London) A173, 211 (1939).
3.A general review of spinors, in a notation different from ours, is given by W. L. Bade and H. Jehle, Rev. Mod. Phys. 25, 714 (1953).
3.See also, E. M. Corson, Introduction to Tensors, Spinors and Relativistic Wave‐Functions (Blackie and Son, Ltd., Glasgow, 1953);
3.H. Umezawa, Quantum Field Theory (North‐Holland Publishing Co., Amsterdam, 1956).
4.D. M. Lipkin, J. Math. Phys. 5, 696 (1964).
5.The quantities are self and antidualing operators for the indices α and β in the sense that. .
6.D. M. Fradkin and R. H. Good, Jr., Rev. Mod. Phys. 33, 343 (1961).
7.Hence, we use the symbol G to imply a gauge‐dependent quantity.
8.These expressions may be evaluated at since they are independent of time.
9.R. H. Good, Jr., Nuovo Cimento 24, 713 (1962).
10.Lipkin refers to ten quantities but, as he also points out, only nine of them are independent.
11.D. J. Candlin, “Analysis of the New Conservation Law in Electromagnetic Theory,” Nuovo Cimento (to be published).
12.T. W. B. Kibble, “Conservation Laws for Free Fields,” J. Math. Phys. (to be published).
12.(a) Footnote added in proof: Another approach to the conservation of “zilch” has recently been given by T. A. Morgan, J. Math. Phys. 5, 1659 (1964).
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