Bound States in the Continuum from Supersymmetric Quantum Mechanics

Details Bound States in the Continuum from Supersymmetric Quantum Mechanics Bound States in the Continuum from Supersymmetric Quantum Mechanics

1993-05-27

arxiv.org/abs/hep-ph/9305336v1

Phys.Rev.A48:3525-3531,1993

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, in latex, 10 figures will be sent by mail, upon request

Scientific paper

10.1103/PhysRevA.48.3525

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 [BICs]. We also find the corresponding wave functions. Our method preserves the spectrum of the original potential except it adds these discrete BICs 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.

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