Treffer: An advanced algorithm to solve the Dirac-Coulomb equation.

The Quantum Mechanical partial differential equations of Schrödinger, Klein-Gordon, Dirac, etc., are fundamental tools for describing the motion of particles as well as phenomena in the microcosm. However, usually they don't have analytical solutions and the use of advanced numerical methods are demanded for their solutions. In this work we derive an effective algorithm for solving the Dirac-Coulomb equation within the physics informed neural networks techniques. For a modern application, we test this code (in Python language) on the reproducibility of the Muonium, (µ⁺e⁻), antimuon-electron two-leptons system, which is of current importance in atomic, nuclear and particle physics. [ABSTRACT FROM AUTHOR]

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