Prog. Theor. Phys. Supplement No.1 (1955) pp. 84-97

[ Full Text PDF : FREE ACCESS (533K) ]

On the Wave Equation of Meson ^*

Physical Institute, Faculty of Science, Osaka Imperial University
^*Institute of Theoretical Physics, Kyoto Imperial University

(Received August 26, 1940)

URL : http://ptp.ipap.jp/link?PTPS/1/84/
DOI : 10.1143/PTPS.1.84

^*Reprinted from Proc. Phys.-Math. Soc. Jpn. 22 (1940), 757-770.

Kemmer's reasoning for a particle theory of the meson, however, seems to be inadequate from the epistemological point of view, because it is to be noted that, contrary to Kemmer's statement, the meson was found originally as a field and later as a particle, just as, in the case of electromagnetic field, the Coulomb field was found first and them the photon.
O. Laporte, Phys. Rev. 54 (1938), 905[APS].
R. J. Duffin, Phys. Rev. 54 (1938), 1114[APS].
N. Kemmer, Proc. R. Soc. A 173 (1939), 91.
F. J. Belinfante, Theory of Heavy Quanta (1939) p. 7.
W. Pauli, Handbuch der Physik, XXIV, p. 216.
H. Weyl, The Classical Groups. p. 85.
B. L. van der Waerden, Moderne Algebra. p. 146.
B. L. van der Waerden, Gruppentheoretische Methode in der Quantenmechanik (1932) §13.
The deduction of this relation is as follows: – from (I) and (II) we obtain S_i S_k + S_kS_i = i (2 S_k² - 1)S_r i ≠k ≠r. Using this relation and (I) we have S_i S_k = i S_r S_k² This enables us to deduce the relation cited here.
Yukawa, Sakata and Taketani, Proc. Phys.-Math. Soc. Jpn. 20 (1938), 319.
Yukawa, Sakata and Kobayasi and Taketani, Proc. Phys.-Math. Soc. Jpn. 20 (1938), 720.
Sakata and Taketani, Sci. Pap. IPCR 37 (Sep., 1940) in the press.

Progress of Theoretical Physics Vol. 48 No. 2 (1972) pp. 574-595 :
The Association of the Sakata-Taketani (Feshbach-Villars) Field with the Kemmer Field, under Symmetry Breaking

Ephraim Fischbach, Michael Martin Nieto and C. K. Scott