Abstract
Point interactions for pseudo-differential operators are studied. Necessary and sufficient conditions for a pseudo-differential operator to have nontrivial point perturbations are given. The results are applied to the construction of relativistic spin zero Hamiltonians with point interactions.
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ALBEVERIO, S., KURASOV, P. Pseudo-Differential Operators with Point Interactions. Letters in Mathematical Physics 41, 79–92 (1997). https://doi.org/10.1023/A:1007370120698
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DOI: https://doi.org/10.1023/A:1007370120698