The Schrödinger particle on the half-line with an attractive δ-interaction: bound states and resonances

In this paper, we provide a detailed description of the eigenvalue E D ( x 0 ) ≤ 0 (respectively, E N ( x 0 ) ≤ 0 ) of the self-adjoint Hamiltonian operator representing the negative Laplacian on the positive half-line with a Dirichlet (resp. Neuman) boundary condition at the origin perturbed by an...

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