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Prog. Theor. Phys. Vol. 63 No. 6 (1980) pp. 2145-2147

[ Full Text PDF : FREE ACCESS (232K) ]

Letters

On Differentiation with Respect to Spinors

Hirohisa Ishikawa

Department of Physics, Nagoya University, Nagoya 464

(Received December 26, 1979)

Abstract:

Mappings which map a spinor to spinor with one more index are constructed. It is shown that the mappings can be considered to be differentiation with respect to spinor field.


URL : http://ptp.ipap.jp/link?PTP/63/2145/
DOI : 10.1143/PTP.63.2145

[ Full Text PDF : FREE ACCESS (232K) ] Citation:

References:

  1. See for example, R. Penrose, Battle Rencontres 1967, eds. C. M. de Witt and J. A. Wheeler (Benjamin Inc., 1968).
  2. R. Penrose, Ann. of Phys. 10 (1960), 171[CrossRef].
  3. T. Takabayasi, Prog. Theor. Phys. Suppl. Extra Number (1965), 339, [PTP]§3; Prog. Theor. Phys. 36 (1966), 185[PTP]; ibid. 36 (1966), 660[PTP].
  4. E. T. Newman, J. Math. Phys. 14 (1973), 102[CrossRef]; Gen. Relat. Gravit. 7 (1976), 107.
  5. J. L. Synge, Relativity, the Special Theory (Amsterdam, North-Holland), p. 361.
  6. T. Takabayasi, Nuovo Cim. 3 (1955), 233; ibid. 7 (1958), 118.
  7. R. Penrose and M. A. H. MacCallum, Phys. Rep. 6 (1973), 241[CrossRef].

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