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We utilize a Physics Informed Neural Network (PINN) to solve the one-body Dirac equation with a simple Coulomb potential as an approximation for the muonium purely leptonic atom. A PINN is neural network that isn't necessarily trained on labeled data only but also the differential equation is included in its error function which in our case is the Dirac equation.

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This page is a summary of: An advanced algorithm to solve the Dirac-Coulomb equation, January 2024, American Institute of Physics,
DOI: 10.1063/5.0205272.
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