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.

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Volume40, Issue15

October 2017

Pages 5470-5477

Bound and anti-bound states for coupled-channel scattering

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Bound and anti-bound states for coupled-channel scattering

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