Abstract
Singular and supersingular finite rank perturbations of self-adjoint operators are studied using methods from renormalization theory for quantum fields. It is shown that the ideas from dimensional and Pauli–Villars regulatizations can be applied to determine uniquely certain finite rank supersingular perturbations. Approach is based on the regularization of homogeneous singular quadratic forms.
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Kurasov, P., Pavlov, Y.V. On Field Theory Methods in Singular Perturbation Theory. Letters in Mathematical Physics 64, 171–184 (2003). https://doi.org/10.1023/A:1025750025624
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DOI: https://doi.org/10.1023/A:1025750025624