Bound states in the continuum from supersymmetric quantum mechanics

Journal Article · Mon Nov 01 04:00:00 EST 1993 · Physical Review A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.48.3525· OSTI ID:6134451

Pappademos, J; Sukhatme, U; Pagnamenta, A ^[1]

---

1. Department of Physics, University of Illinois at Chicago, Chicago, Illinois 60680 (United States)

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.

• DOE Contract Number: FG02-84ER40173
• OSTI ID: 6134451
• Journal Information: Physical Review A; (United States), Journal Name: Physical Review A; (United States) Vol. 48:5; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

661300* -- Other Aspects of Physical Science-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOUND STATE
COULOMB FIELD
DIFFERENTIAL EQUATIONS
ELECTRIC FIELDS
ENERGY
EQUATIONS
FUNCTIONS
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
POTENTIAL ENERGY
QUANTUM MECHANICS
SCHROEDINGER EQUATION
SUPERSYMMETRY
SYMMETRY
WAVE EQUATIONS
WAVE FUNCTIONS