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Within the framework of quantum mechanics working with one-dimensional,manifestly non-Hermitian Hamiltonians $H=T+V$ the traditional class of theexactly solvable models with local point interactions $V=V(x)$ is generalized.The consequences of the use of the nonlocal point interactions such that $(Vf)(x) = \int K(x,s) f(s) ds$ are discussed using the suitably adapted formalismof boundary triplets.

Quantum solvable models with nonlocal one point interactions