Prog. Theor. Phys. Vol. 13 No. 1 (1955) pp. 106-108

[ Full Text PDF : FREE ACCESS (182K) ]

On the Structure of Dirac Wave Function

Physical Institute, Nagoya University

(Received January 20, 1955)

URL : http://ptp.ipap.jp/link?PTP/13/106/
DOI : 10.1143/PTP.13.106

G. E. Uhlenbeck and O. Laporte, Phys. Rev. 37 (1931), 1380[APS].
W. Pauli, Zeeman Verhandelingen (Nijhoff, 1935), 31; Ann. Inst. H. Poincaré 6 (1936), 109.
W. Kofink, Ann. d. Phys. 38 (1940), 421.
The summation convention is to be understood for repeated indices.
For instance, in (5) the summation over ξ, η=1, 2 and α, β=1, 2, and in (6) and (7) the summation over ν=1, 2, 3, 4 are to be carried out.
P. A. M. Dirac, Proc. Camb. Phil. Soc. 30 (1934), 150.
T. Takabayasi, Prog. Theor. Phys. 11 (1954), 341[PTP].
T. Takabayasi, Prog. Theor. Phys.; Soryushiron Kenkyu (in Japanese), in press.

Progress of Theoretical Physics Vol. 13 No. 2 (1955) pp. 222-224 :
Relativistic Hydrodynamics Equivalent to the Dirac Equation

Takehiko Takabayasi