Separation of variables and exact solution of the Dirac equation in some cosmological space-times

Physics

Scientific paper

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Exact Solutions, Relativistic Wave Equations, Mathematical And Relativistic Aspects Of Cosmology

Scientific paper

We apply the algebraic method of separation of variables in order to
reduce the Dirac equation to a set of coupled first-order ordinary
differential equations. We obtain the sufficient conditions for partial
or complete separability corresponding to homogeneous cosmological
backgrounds.

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