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#### inverse wave scattering with discontinuous wave speed

(AIP Publishing, 1995-06)

The inverse scattering problem on the line is studied for the generalized Schrödinger equation (d 2ψ/dx 2)+k 2 H(x)2ψ=Q(x)ψ, where H(x) is a positive, piecewise continuous function with positive limits H ± as x → ±∞. This ...

#### coupling constant thresholds of perturbed periodic Hamiltonians

(AIP Publishing, 1998-09)

We consider Schrodinger operators of the form H-lambda= -Delta + V + lambda W on L-2(R-v) (v=1, 2, or 3) with V periodic, W short range, and lambda a real non-negative parameter. Then the continuous spectrum of H-lambda ...