Abstract
The present status of the generalized Marchenko method for the solution of the inverse scattering problem of the Schrödinger equation in three dimensions is summarized. Gaps and errors in previous publications are filled and corrected, and a new connection between the scattering amplitude and the number of bound-state eigenvalues is pointed out.
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References
Newton, R. G.: Inverse Schrödinger Scattering in Three Dimensions, Springer Verlag, New York 1989.
Newton, R.G.: Factorizations of the S matrix, J. Math. Phys. 31 (1990) 2414–2424.
Newton, R.G.: Uniqueness in some quasi-Goursat problems in 3+1 dimensions and the inverse scattering problem, J. Math. Phys. 32 (1991) 3130–3134.
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© 1993 Springer-Verlag
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Newton, R.G. (1993). Present status of the generalized Marchenko method for the solution of the inverse scattering problem in three dimensions. In: Päivärinta, L., Somersalo, E. (eds) Inverse Problems in Mathematical Physics. Lecture Notes in Physics, vol 422. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-57195-7_19
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DOI: https://doi.org/10.1007/3-540-57195-7_19
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