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Prog. Theor. Phys. Supplement No.1 (1955) pp. 98-108
Note on Casimir's Method of the Sin Summation in the Case of the Meson *
Shoichi Sakata and
Mitsuo Taketani
(Received July 30, 1940)
Abstract:
A new form of the vector meson theory is described, in which six-rowed matrices having properties very similar to those of Dirac's matrices are introduced. Making use of this formalism, we have extended Casimir's method of the spin summation (technique of spur) to calculations for radiative processes of the meson. As an application of this method, a derivation of Laporte's scattering formula is given. The relation to Kemmer's form of the meson theory is also discussed.
URL :
http://ptp.ipap.jp/link?PTPS/1/98/
DOI : 10.1143/PTPS.1.98
References:
- Yukawa, Sakata, and Taketani, Proc. Phys.-Math. Soc. Jpn. 20 (1938), 319.
Kemmer, Proc. R. Soc. A 166 (1938), 127.
- Casimir, Helv. Phys. Acta 6 (1933), 287.
Heitler, The Quantum Theory of Radiation, (1936), Oxford.
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Laporte, Phys. Rev. 54 (1938), 905[APS].
- Kemmer, Proc. R. Soc. A 173 (1939), 91.
- Taketani and Sakata, Proc. Phys.-Math. Soc. Jpn. 22 (1940), the press.
Citing Article(s) :
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Progress of Theoretical Physics Vol. 48 No. 2 (1972) pp. 574-595
:
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The Association of the Sakata-Taketani (Feshbach-Villars) Field with the Kemmer Field, under Symmetry Breaking
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Ephraim Fischbach, Michael Martin Nieto and C. K. Scott
