Abstract
We generalize and study, within the framework of quantum mechanics and working with 1-dimensional, manifestly non-Hermitian Hamiltonians H=−d2/dx2+V, the traditional class of exactly solvable models with local point interactions V=V(x). We discuss the consequences of the use of nonlocal point interactions such that (Vf)(x)=∫K(x,s)f(s)ds by means of the suitably adapted formalism of boundary triplets.
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