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Methods of generating integrable potentials for the Sochrödinger equation and nonlocal symmetries
Authors:V G Bagrov  A V Shapovalov  I V Shirokov
Institution:(1) V. V. Kuibyshev State University, Tomsk
Abstract:Methods of generating exactly integrable potentials for the Schrödinger equation are consolidated within the framework of a simple construction. The Abraham-Moses method is generalized to the case of the nonstationary Schrödinger equation. An algorithm is proposed for solving the Schrödinger equation based on nonlocal symmetry operators.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 19–25, September, 1991.
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