We review properties and applications of point interaction Hamiltonians. This class of operators is first defined following a classical presentation and then generalized to cases in which some dynamical and/or geometrical parameters are varying with time. We recall their relations with smooth short range potentials.
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Dell'Antonio, G., Figari, R., Teta, A. (2008). A Brief Review on Point Interactions. In: Bonilla, L.L. (eds) Inverse Problems and Imaging. Lecture Notes in Mathematics, vol 1943. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78547-7_7
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