Prog. Theor. Phys. Vol. 13 No. 2 (1955) pp. 222-224

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Relativistic Hydrodynamics Equivalent to the Dirac Equation

Physical Institute, Nagoya University

(Received February 28, 1955)

URL : http://ptp.ipap.jp/link?PTP/13/222/
DOI : 10.1143/PTP.13.222

T. Takabayasi, Prog. Theor. Phys. 9 (1953), 187[PTP].
T. Takabayasi, Soryushiron Kenkyu (mimeogrpahed circular in Japanese) 7 (1955), 600,
of which brief account appeared in, Prog. Theor. Phys. 12 (1954), 810[PTP].
T. Takabayasi, Prog. Theor. Phys. 13 (1955), 106[PTP].
The relation (4) was obtained by W. Kofink, Ann. d. Phys. 38 (1940), 421.
O. Costa de Beauregard, Thèse, (Paris, 1943).
The “spin” means the intrinsic angular momentum which is considered in our picture to distribute in space.
A. Proca, Ann. de Physique 20 (1933), 429.
Curl_µν (J/P)≡∂_µ(J_ν/P)-∂_ν(J_µ/P).
Such reductions of the quantities (12) were carried out by W. Kofink, Ann. d. Phys. 38 (1940), 436, in a non-covariant form, and also by G. Petiau, Jour. de Mathem. 26 (1947), 1, in another form.
Such equations, as they stand, were formerly considered by Costa de Beauregard (loc. cit.).