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

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

URL: http://arxiv.org/abs/2102.01464v1
Date: Tue, 2 Feb 2021 12:33:43 GMT
Title: An algebraic method for solving the inverse problem of quantum scattering theory
Authors: N.A. Khokhlov
Abstract summary: We present a new method for solving the inverse problem of quantum scattering theory based on the Marchenko theory. 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.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
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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