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Prog. Theor. Phys. Vol. 15 No. 4 (1956) pp. 333-368

[ Full Text PDF : FREE ACCESS (2023K) ]

A Relativistic Field Theory of an Extended Particle, I

Tadao Nakano

Department of Physics, Osaka City University, Osaka

(Received December 13, 1955)

Abstract:

Quantization of motion of a rigid body and its extension to the relativistic form are attempted here. The special theory of relativity is believed that it rules the phenomena in the macroscopic world. But, so far, we do not know the rule which governs the microscopic world as the interior of an elementary particle. Here we assume that the internal space of an elementary particle is Euclidean. The field equation, however, has the relativistically invariant form so that the expectation values of observable quantities become relativistically covariant. The condition that the time components of an internal angular momentum have zero expectation values in the rest system leads to the general linear equation derived by Bhabha for elementary particles with arbitrary spins.
When interactions are absent, the solutions of the field equations are obtained and quantization of the field of a rigid sphere is done.


URL : http://ptp.ipap.jp/link?PTP/15/333/
DOI : 10.1143/PTP.15.333

[ Full Text PDF : FREE ACCESS (2023K) ] Citation:

References:

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  3. There are several works which treat extended (or spinning) particles relativistically, but they are not rigid bodies corresponding to the non-relativistic one; e.g.,
    F. Bopp, Ann. der Physik 38 (1940), 345; Zeits. f. Naturforsch. 1 (1946), 196.
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    After completion of this work the author received the work on the relativistic rigid model: D. Finkelstein, Phys. Rev. 100 (1955), 924[APS].
    The author thanks Prof. D. Finkelstein for sending him the manuscript in advance of publication.
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