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Spherical solutions to the Klein-Gordon equation in the expanding universe

Karen Yagdjian·August 15, 2025
math.APgr-qcMathematical PhysicsQuantum Physics

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Abstract

We produce an explicit formula for the wave function of the spherically symmetric fields emitted to the FLRW universe with the scale factor generated by the de~Sitter universe. As an application of these explicitly written solutions of the Klein-Gordon equation, we test the decay in time of the field generated by a pionic atom.

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