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Bound and anti‐bound states for coupled‐channel scattering
Authors:Salmine Abdelmoula  Hamadi Baklouti
Institution:Sfax University, Sfax, Tunisia
Abstract:We discuss bound and anti‐bound states for 2×2 matrix Schrödinger operator. We analyze the Fredholm determinant for Hamiltonians that can be represented in a multi‐channel framework. Our analysis covers the whole and the half‐line problems. We obtain some results on counting anti‐bound states between successive bound states. Copyright © 2017 John Wiley & Sons, Ltd.
Keywords:Schrö  dinger operator  bound states  resonances  Fredholm determinant
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