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Prog. Theor. Phys. Vol. 37 No. 6 (1967) pp. 1319-1329

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A Quantum Theory of the Rigid Body in Terms of a Two-Component Spinor

Osamu Hara, Tetsuo Gotō, S. Y. Tsai and Haruichi Yabuki

Department of Physics and Atomic Energy Research Institute, Nihon University, Tokyo

(Received February 1, 1967)

Abstract:

It is shown that the motion of the rigid body can be described very conveniently in terms of a two-component spinor. The advantage of this description over the usual one using the Euler angles is that in this description all expressions are written in a manifestly covariant form. Our discussion is mainly quantum mechanical and is restricted to the non-relativistic case.


URL : http://ptp.ipap.jp/link?PTP/37/1319/
DOI : 10.1143/PTP.37.1319

[ Full Text PDF : FREE ACCESS (473K) ] Citation:


References:

  1. H. B. G. Casimir, Rotation of a Rigid Body in Quantum Mechanics (J. B. Wolter's Groningen, 1931).
    F. Reiche and H. Rademacher, Z. Phys. 39 (1926), 444; ibid. 41 (1927), 453.
    R. de L. Kronig and I. I. Rabi, Phys. Rev. 29 (1927), 262[APS].
    W. Pauli, Die Allgemeinen Prinzipien der Wellenmechanik, Handbuch der Physik (Springer-Verlag, Berlin).
    F. Bopp and R. Haag, Z. Naturforsch. 5a (1950), 644.
  2. D. Bohm and R. Schiller, Nuovo Cim. Suppl. 1 (1955), 67.
  3. T. Takabayasi, Prog. Theor. Phys. Suppl. Extra Number (1965), 339[PTP].
  4. P. A. M. Dirac, Lecture on Quantum Mechanics (Belfer Graduate School of Science, Yeshiva University, New York, 1964).
  5. S. N. Gupta, Proc. Phys. Soc. 63 (1950), 681.

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 38 No. 5 (1967) pp. 1168-1175 :
    The Degenerate Vacuum and the Infinite Component Wave Equation
    Tetsuo Gotō
  2. Progress of Theoretical Physics Supplement No.67 (1979) pp. 115-208 :
    Dynamical Theory of Hadrons Based upon Extended Particle Picture
    Osamu Hara