The suggestion of singular quadratic shape seems to be in mathematical physics as a device for the research of formal expressions resembling perturbations with out operator feel. quite a few actual versions are in keeping with using Hamiltonians containing perturba tion phrases with singular homes. regular examples of such expressions are Schrodin ger operators with O-potentials (-~ + advert) and Hamiltonians in quantum box conception with perturbations given by way of operators of production and annihilation (P(
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