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BOUND, VIRTUAL AND RESONANCE STATES OF THE THREE-DIMENSIONAL DIRAC AND SCHRÖDINGER SQUARE WELL

H. HOGREVE

IFISR – International Foundation for Independent Scientific Research, 1133 Broadway, Suite 706, New York, NY 10010, USA

https://doi.org/10.1142/S0218301313500791Cited by:3 (Source: Crossref)

Abstract

The transition scenario between bound, virtual and resonance states is investigated for the Dirac and Schrödinger operator with a spherically symmetric square well potential of varying depth λ≥0. This includes rigorous results derived with the help of the Birman–Schwinger principle and perturbation methods, and a numerical study of the motion of the corresponding S-matrix poles as a function of λ by displaying the computed energy curves in the complex plane.

Keywords:

PACS: 03.65.Pm, 02.30.Ib, 03.65.Nk

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