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Prog. Theor. Phys. Vol. 33 No. 5 (1965) pp. 889-906

[ Full Text PDF : FREE ACCESS (833K) ]

On a Classical Spinning Particle Model of Dirac Particle

Tetsuo Gotō

Department of Physics, College of Science and Engineering, Nihon University, Tokyo

(Received October 15, 1964)

Abstract:

By using the “momentum proper time”, which coincides with the usual time in the momentum rest frame, the general Lagrangian and Hamiltonian formalism of classical relativistic spinning particles are developed. As an example of this formalism, we find a classical model which directly corresponds to Dirac and Duffin-Kemmer particles. In connection with this example, we find differential operators which satisfy Bhabha's condition and, therefore, correspond to Dirac's γ-matrices if we confine ourselves to the spin 1/2 states.


URL : http://ptp.ipap.jp/link?PTP/33/889/
DOI : 10.1143/PTP.33.889

[ Full Text PDF : FREE ACCESS (833K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 34 No. 6 (1965) pp. 1007-1022 :
    Elastic Sphere Model of Elementary Particles and Its Relation to the Quadri-Local Field Model
    Tetsuo Gotō
  2. Progress of Theoretical Physics Vol. 39 No. 2 (1968) pp. 372-393 :
    The Frenkel-Kramers Model and the Zitterbewegung in the Extended Heisenberg Picture of the Dirac Electron
    Hisaiti Yamasaki

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