General Theory of Constructing Potential with Bound States in the Continuum

• Published in: Progress of theoretical and experimental physics Vol. 2024; no. 7
• Main Authors: Kurino, Mao, Takayanagi, Kazuo
• Format: Journal Article
• Language: English
• Published: Oxford Oxford University Press 01.07.2024
• Subjects: Decomposition; Energy; Fourier transforms; Physics

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 described by nonlocal potentials of the form $V(r,r^{\prime })$, bound states at positive energies are as common as those at n...