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Prog. Theor. Phys. Supplement No.37 & 38 (1966) pp. 495-506
Transformation Properties of the Rigid Sphere Wave Functions and Their Relation to the Dirac Spinor
Osamu Hara,
S. Y. Tsai and
Haruichi Yabuki
Department of Physics and Atomic Energy Research Institute, Nihon University, Tokyo
(Received August 25, 1966)
Abstract:
It is shown that the wave functions of a rigid sphere belonging to the eigenvalue J = 1/2, where J denotes the magnitude of the angular momentum due to the rotation of the sphere around its center of mass, transform in exactly the same way as the Dirac spinor under the spatial rotation, space inversion and the Lorentz transformation, and that the Dirac equation is derived automatically from the properties of these wave functions.
URL :
http://ptp.ipap.jp/link?PTPS/37/495/
DOI : 10.1143/PTPS.37.495
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