Exact solutions of the Dirac equation in a nonfactorizable metric

doi:10.1063/1.532928

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Exact solutions of the Dirac equation in a nonfactorizable metric

M. N. Hounkonnou, J. Mendy

Jul 19, 1999

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Journal

Journal of Mathematical Physics

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Key Takeaway

Key Takeaway: The Dirac equation in a nonfactorizable metric can be solved in terms of special functions and the spinor solution, with the Weyl equation for neutrinos being a special case.

Abstract

We present the covariant generalization of the Dirac equation in a nonfactorizable metric and give the corresponding exact solutions in terms of special functions as well as the explicit form of the spinor solution. Then we treat the particular case of the Weyl equation for the neutrinos.

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