1993/05/27 by J. Pappademos, John Pappademos, U. Sukhatme +1 · 2 citations
Physics and Astronomy · #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Topological Materials and Phenomena #hep-ph
paper · pdf · doi:10.1103/physreva.48.3525
published as Phys.Rev.A48:3525-3531,1993 · 15 pages, in latex, 10 figures will be sent by mail, upon request
arxiv created 1993/05/27 · openalex publication_date 1993/11/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
Starting from a potential with a continuum of energy eigenstates, we show how the methods of supersymmetric quantum mechanics can be used to generate families of potentials with bound states in the continuum (BIC's). We also find the corresponding wave functions. Our method preserves the spectrum of the original potential except it adds these discrete BIC's at selected energies. Specifically, we compute and graph potentials which have bound states in the continuum starting from a null potential representing a free particle and from both the attractive and the repulsive Coulomb potentials.