Nonlinear extension of the J-matrix method of scattering: A toy model

Nonlinear extension of the J-matrix method of scattering: A toy model

We introduce nonlinear extension of the J-matrix method of scattering. The formulation relies predominantly on the linearization of products of orthogonal polynomials. We present a toy model as an illustrative example and obtain the nonlinear scattering matrix.

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Bibliographische Detailangaben
Hauptverfasser: Alhaidari, A. D, Taiwo, T. J
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Mathematical Physics
Physics - Mathematical Physics
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Zusammenfassung:We introduce nonlinear extension of the J-matrix method of scattering. The formulation relies predominantly on the linearization of products of orthogonal polynomials. We present a toy model as an illustrative example and obtain the nonlinear scattering matrix.
DOI:10.48550/arxiv.2304.11361