Inverse scattering problem for the Impulsive Schrodinger equation with a polynomial spectral dependence in the potential
Publish place: Caspian Journal of Mathematical Sciences، Vol: 9، Issue: 2
Publish Year: 1399
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_CJMS-9-2_007
تاریخ نمایه سازی: 27 بهمن 1399
Abstract:
In the present work, under some di¤erentiability conditions on the potential functions , we
rst reduce the inverse scattering problem (ISP) for the polynomial pencil of the Scroedinger equation to the corresponding ISP for the generalized matrix Scrödinger equation . Then ISP will be solved in analogy of the Marchenko method. We aim to establish an e¤ective algorithm for uniquely reconstructing of the potential functions of the equation in that case when there is no a discrete spectrum
Keywords:
One dimensional Schrödinger equation , scattering data , Jost solution , direct problem , inverse scattering problem