Abstract
We find the asymptotic behavior of the Jost functionχ(Z,λ) of a two-dimensional Schrödinger operator for arbitrary λɛℂ and Z/|Z|ɛS1 as |Z|→∞ We discuss consequences of the asymptotic formulas for the inverse scattering problem.
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Literature cited
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Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 173, pp. 96—103, 1988.
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Kachalov, A.P., Kurylev, Y.V. Asymptotic behavior of the Jost function of a two-dimensional Schrödinger operator. J Math Sci 55, 1712–1717 (1991). https://doi.org/10.1007/BF01098209
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DOI: https://doi.org/10.1007/BF01098209