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Prog. Theor. Phys. Vol. 70 No. 5 (1983) pp. 1466-1467
Letters
A Spinorization of the Frenet-Serret Equation
Yasushi Takahashi
Theoretical Physics Institute, Department of Physics, University of Alberta, Edmonton, Alberta, T6G 2Jl
(Received July 16, 1983)
Abstract:
The Frenet-Serret equation is spinorized. It is proved that the integrability condition of the Frenet-Serret equation and the equation describing evolution agrees with the integrability condition of the spinor equations.
URL :
http://ptp.ipap.jp/link?PTP/70/1466/
DOI : 10.1143/PTP.70.1466
References:
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M. Lakshamanan, Th. W. Ruijgrok, and C. J. Thompson, Physica A 84 (1976), 577[CrossRef].
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G. L. Lamb, Jr., Phys. Rev. Lett. 37 (1976), 235[APS].
- Y. Takahashi, Prog. Theor. Phys. 69 (1983), 369[PTP].
- K. Inoue and M. Omote, Tsukuba University Preprint 1982.
- See, for example, C. W. Misner, K. S. Thorne and J. A. Wheeler, Gravitation (W. H. Freeman and Co., San Francisco, 1970).
