@article {2016,
	title = {On point interactions realised as Ter-Martirosyan-Skornyakov Hamiltonians},
	number = {SISSA;11/2016/MATE},
	year = {2016},
	abstract = {For quantum systems of zero-range interaction we discuss the mathematical scheme within which modelling the two-body interaction by means of the physically relevant ultra-violet asymptotics known as the {\textquoteleft}{\textquoteleft}Ter-Martirosyan--Skornyakov condition{\textquoteright}{\textquoteright} gives rise to a self-adjoint realisation of the corresponding Hamiltonian. This is done within the self-adjoint extension scheme of Krein, Visik, and Birman. We show that the Ter-Martirosyan--Skornyakov asymptotics is a condition of self-adjointness only when is imposed in suitable functional spaces, and not just as a point-wise asymptotics, and we discuss the consequences of this fact on a model of two identical fermions and a third particle of different nature.},
	url = {http://urania.sissa.it/xmlui/handle/1963/35195},
	author = {Alessandro Michelangeli and Andrea Ottolini}
}
