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arXiv · 2102.01464

An algebraic method for solving the inverse problem of quantum scattering theory

N. A. Khokhlov
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Abstract

We present a new algebraic method for solving the inverse problem of quantum scattering theory based on the Marchenko theory. We applied a triangular wave set for the Marchenko equation kernel expansion in a separable form. The separable form allows a reduction of the Marchenko equation to a system of linear equations. For the zero orbital angular momentum, a linear expression of the kernel expansion coefficients is obtained in terms of the Fourier series coefficients of a function depending on the momentum q and determined by the scattering data on the finite range of q.

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N. A. Khokhlov. 2021-02-02. An algebraic method for solving the inverse problem of quantum scattering theory. https://arxiv.org/abs/2102.01464

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