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On contact interactions realised as Friedrichs systems

TitleOn contact interactions realised as Friedrichs systems
Publication TypePreprint
2017
AuthorsErceg, M, Michelangeli, A
Document NumberSISSA;48/2017/MATE

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.

http://preprints.sissa.it/handle/1963/35298

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