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quant-ph2024★ 1 cited
General theory of constructing potential with bound states in the continuum
Mao Kurino, Kazuo Takayanagi
We present a general theory of potentials that support bound states at positive energies (bound states in the continuum). On the theoretical side, we prove that, for systems descri…
quant-ph1998★ 10 cited
Equivalence of Local and Separable Realizations of the Discontinuity-Inducing Contact Interaction and Its Perturbative Renormalizability
Taksu Cheon, T. Shigehara, K. Takayanagi
We prove that the separable and local approximations of the discontinuity-inducing zero-range interaction in one-dimensional quantum mechanics are equivalent. We further show that…