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Inverse Scattering in One Dimension for a Generalized Schrödinger Equation

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Quantum Inversion Theory and Applications

Part of the book series: Lecture Notes in Physics ((LNP,volume 427))

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Abstract

The generalized one-dimensional Schrödinger equation d 2 ψ/dx 2+k 2 H(x)2 ψ = Q(x)ψ is considered, where H(x) → 1 and Q(x) → 0 as x → ±∞. The function H(x) is recovered when the scattering matrix, Q(x), the bound state energies and norming constants are known.

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© 1994 Springer-Verlag Berlin Heidelberg

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Aktosun, T., van der Mee, C. (1994). Inverse Scattering in One Dimension for a Generalized Schrödinger Equation. In: von Geramb, H.V. (eds) Quantum Inversion Theory and Applications. Lecture Notes in Physics, vol 427. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-13969-1_4

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