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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 study the Hamiltonians of contact (or `point', or `zero-range') interactions in
quantum mechanics via the framework of abstract Friedrichs systems. More precisely, we study one- and three-dimensional case of contact interactions, and we present a new method how to obtain all self-adjoint (even closed) realisations of interest. In particular, in the one-dimensional case we recover both gamma and gamma' interactions.

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

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