Abstract
We suggest a tensor equation on Riemannian manifolds which can be considered as a generalization of the Dirac equation for the electron. The tetrad formalism is not used.
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References
Marchuk N.G., A gauge model with spinor group for a description of local interaction of a fermion with electromagnetic and gravitational fields, http://xxx.lanl.gov/abs/math-ph/9912004
Marchuk N.G., A tensor form of the Dirac equation, http://xxx.lanl.gov/abs/math-ph/0007025
Marchuk N.G., Advances in Applied Clifford Algebras, v.8, N.I, (1998), p.181–225. (http://xxx.lanl.gov/abs/math-ph/9811022)
Bogoliubov N.N. and Shirkov D.V., Introduction to the Theory of Quantized Fields. Interscience, New York and London, 1959.
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© 2001 Springer Science+Business Media Dordrecht
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Marchuk, N. (2001). The Dirac Type Tensor Equation in Riemannian Space. In: Brackx, F., Chisholm, J.S.R., Souček, V. (eds) Clifford Analysis and Its Applications. NATO Science Series, vol 25. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0862-4_21
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DOI: https://doi.org/10.1007/978-94-010-0862-4_21
Publisher Name: Springer, Dordrecht
Print ISBN: 978-0-7923-7045-1
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