Boyling, J. B.; Cole, E. A. B. Six-dimensional Dirac equation. (English) Zbl 0780.35109 Int. J. Theor. Phys. 32, No. 5, 801-812 (1993). Summary: The Dirac equation in six-dimensional relativity (three space and three time) is considered and shown to correspond to particles which have spatial \(\text{spin-}{1\over 2}\) and temporal \(\text{spin-}{1\over 2}\). Explicit forms of the spinor transformation are found. Plane wave solutions are obtained and their properties are given in terms of spatial and temporal spins and helicities. An expression is found for the charge conjugation operator. Cited in 1 Document MSC: 35Q75 PDEs in connection with relativity and gravitational theory 83A05 Special relativity Keywords:plane wave solutions; six-dimensional relativity; spinor transformation; charge conjugation PDF BibTeX XML Cite \textit{J. B. Boyling} and \textit{E. A. B. Cole}, Int. J. Theor. Phys. 32, No. 5, 801--812 (1993; Zbl 0780.35109) Full Text: DOI References: [1] Cole, E. A. B. (1977).Nuovo Cimento,40A, 171. [2] Cole, E. A. B. (1980).Journal of Physics A,13, 109. · Zbl 0434.65118 · doi:10.1088/0305-4470/13/1/012 [3] Cole, E. A. B. (1985).Nuovo Cimento,85B, 105. [4] Cole, E. A. B., and Buchanan, S. A. (1982).Journal of Physics A,15, L255. · doi:10.1088/0305-4470/15/6/001 [5] Cole, E. A. B., and Starr, I. M. (1985).Nuovo Cimento Lettere,43, 388. · doi:10.1007/BF02746972 [6] Cole, E. A. B., and Starr, I. M. (1990).Nuovo Cimento,105B, 1091. [7] Dattoli, G., and Mignani, R. (1978).Nuovo Cimento Lettere,22, 65. · doi:10.1007/BF02786138 [8] Demers, P. (1975).Canadian Journal of Physics,53, 1687. · Zbl 0362.68102 [9] Dorling, J. (1970).American Journal of Physics,38, 539. · doi:10.1119/1.1976386 [10] Maccarrone, G. D., Pavsic, M., and Recami, E. (1983).Nuovo Cimento,73B, 91. [11] Pappas, P. T. (1982).Nuovo Cimento,68B, 111. [12] Patty, C. E. (1982).Nuovo Cimento,70B, 65. [13] Patty, C. E., and Smalley, L. L. (1985).Physical Review D,32, 891. · doi:10.1103/PhysRevD.32.891 [14] Pavsic, M. (1981).Journal of Physics A,14, 3217. · doi:10.1088/0305-4470/14/12/017 [15] Ray, D. (1979).Physics Letters,73A, 4. [16] Recami, E., and Mignani, R. (1974).Nuovo Cimento,4, 209. [17] Spinelli, G. (1979).Nuovo Cimento Lettere,26, 282. · doi:10.1007/BF02746648 [18] Strnad, J. (1983).Nuovo Cimento Lettere,38, 286. · doi:10.1007/BF02813663 [19] Vysin, V. (1978).Nuovo Cimento Lettere,22, 76. · doi:10.1007/BF02786140 [20] Weinberg, N. N. (1980).Physics Letters,80A, 102. [21] Ziino, G. (1981).Nuovo Cimento Lettere,31, 629. · doi:10.1007/BF02777968 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.