On contact interactions realised as Friedrichs systems
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Date
2017
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Abstract
We realise the Hamiltonians of contact interactions in quantum mechanics within the framework of abstract Friedrichs systems. In particular, we show that the construction of the self-adjoint (or even only closed) operators of contact interaction supported at a fixed point can be associated with the construction of the bijective realisations of a suitable pair of abstract Friedrich operators. In this respect, the Hamiltonians
of contact interaction provide novel examples of abstract Friedrich systems.
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Keywords
Abstract Friedrichs systems, Grubb extension theory