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Prog. Theor. Phys. Vol. 12 No. 3 (1954) pp. 383-400

On the Time Reversal in the Quantized Field Theory

Hiroomi Umezawa, Susumu Kamefuchi and Shô Tanaka

Institute of Theoretical Physics, Nagoya University

(Received May 28, 1954)

Abstract:

The possibility of time reversal transformation is investigated from the general viewpoint of the quantized field theory. The time reversal transformation is so defined as to preserve the canonical formalism of the theory. It is found in §2 that there are two kinds of such transformations, which are shown to correspond to the so-called Pauli's and Wigner's transformations, respectively. In §3 the transformation properties of physical quantities under these transformations are examined and then the physical meanings of time reversal are clarified. In §4 some considerations are made as to whether the invariance requirement under the time reversal really imposes restrictions on the form of interaction Hamiltonian and the otherwise undermined phase factors of the coupling constants of the Fermi and Yang-Tiomno interactions. Finally the connection between the generalized time reversal transformation and the concept of the family of elementary particles is studied. In the appendix the transformation is further applied to the Pais' theory of baryon-meson-photon system.

URL : http://ptp.ipap.jp/link?PTP/12/383/
DOI : 10.1143/PTP.12.383

[ Full Text PDF : FREE ACCESS (1438K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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References:

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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 14 No. 2 (1955) pp. 172-173 :

   On the Mass Reversal in the Quantized Field Theory

   Tadashi Ouchi, Kei Senba and Minoru Yonezawa

2. Progress of Theoretical Physics Vol. 15 No. 5 (1956) pp. 431-444 :

   Theory of Mass Reversal in the Quantized Field Theory

   Tadashi Ouchi, Kei Senba and Minoru Yonezawa

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