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Interior-Boundary Conditions for the Dirac Equation at Point Sources in 3 Dimensions

Interior-Boundary Conditions for the Dirac Equation at Point Sources in 3 Dimensions

A recently proposed approach for avoiding the ultraviolet divergence of Hamiltonians with particle creation is based on interior-boundary conditions (IBCs). The approach works well in the non-relativistic case, that is, for the Laplacian operator. Here, we study how the approach can be applied to Dirac operators. While this has been …