Browsing by Author "Erceg, Marco"

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    On contact interactions realised as Friedrichs systems
    (2017) Erceg, Marco; Michelangeli, Alessandro; Mathematics
    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.