Prog. Theor. Phys. Vol. 21 No. 4 (1959) pp. 640-652
On the Transformation Properties of the Dirac Equation
Research Institute for Fundamental Physics, Kyoto University, Kyoto
(Received December 22, 1958)
In connection with two types of 3-dimensional rotation groups, which are termed in this paper as the helicity and the pseudo-helicity group respectively, a synthesis and generalization of the Foldy-Wouthuysen-Tani transforamtion and the Cini-Toushek transformation for the Dirac Hamiltonian is discussed. One is thus enabled to comprehend in one scope the extreme-non-relativistic and the extreme-relativistic limits of the behavior of the free Dirac particles. Moreover, the parity-conserving and the parity-non-conserving interactions of the V-A form are derived on the basis of the principle of invariance of the interaction Hamiltonian for the continuous group of transformations corresponding to the extreme-relativistic case.
DOI : 10.1143/PTP.21.640
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Citing Article(s) :
Progress of Theoretical Physics Vol. 22 No. 6 (1959) pp. 857-862
Remarks on the Transformation Properties of the Dirac Equation
Pong Y. Pac
Progress of Theoretical Physics Vol. 41 No. 3 (1969) pp. 816-831
Five Classes of Transformations of Dirac Spinors
A. J. Bracken and H. A. Cohen