2021
DOI: 10.48550/arxiv.2112.14342
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An algebraic form of the Marchenko inversion. Partial waves with orbital momentum $l\ge 0$

Abstract: We present a generalization of the algebraic method for solving the Marchenko equation (fixed-l inversion) for any values of the orbital angular momentum l. We expand the Marchenko equation kernel in a separable form using a triangular wave set. The separable kernel allows a reduction of the equation to a system of linear equations. We obtained a linear expression of the kernel expansion coefficients in terms of the Fourier series coefficients of q(1 − S(q)) function (S(q) is the scattering matrix) depending o… Show more

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