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Prog. Theor. Phys. Vol. 21 No. 4 (1959) pp. 640-652
On the Transformation Properties of the Dirac Equation
Pong Y. Pac
Research Institute for Fundamental Physics, Kyoto University, Kyoto
(Received December 22, 1958)
Abstract:
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.
URL :
http://ptp.ipap.jp/link?PTP/21/640/
DOI : 10.1143/PTP.21.640
References:
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L. L. Foldy and S. A. Wouthuysen, Phys. Rev. 78 (1950), 29[APS].
- S. Tani, Prog. Theor. Phys. 6 (1951), 267[PTP].
- M. Cini and B. Touschek, Nuovo Cim. 7 (1958), 422.
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E. C. G. Sudarshan and R. E. Marshak, Phys. Rev. 109 (1958), 1860[APS].
R. P. Feynman and M. Gell-Mann, Phys. Rev. 109 (1958), 193[APS].
J. J. Sakurai, Nuovo Cim. 7 (1958), 1306.
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S. Watanabe, Phys. Rev. 106 (1957), 1306[APS].
- W. Pauli, Nuovo Cim. 6 (1957), 204.
Citing Article(s) :
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Progress of Theoretical Physics Vol. 22 No. 6 (1959) pp. 857-862
:
-
Remarks on the Transformation Properties of the Dirac Equation
-
Pong Y. Pac
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Progress of Theoretical Physics Vol. 41 No. 3 (1969) pp. 816-831
:
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Five Classes of Transformations of Dirac Spinors
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A. J. Bracken and H. A. Cohen
