| Abstract: |
| We present the explicit formulas for the wave functions of the spherically symmetric fields emitted to the FLRW universe with the scale factor generated by the de Sitter universe. For the derivation of the formulas of the spherical waves, we use the integral transform, which is an analytical mechanism that generates a solution of the massive or massless scalar or spinorial fields in the curved spacetime from the massless scalar field in the Minkowski space. As an application of these explicitly written solutions of the Klein-Gordon and Dirac equations, we test the decay in time of the field generated by a pionic atom. |
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