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On the method of pseudopotential for Schrödinger equation with nonlocal boundary conditions

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  • Yuriy Valentinovich Zasorin

Abstract

For stationary Schrödinger equation in ℝ n with the finite potential the singular pseudopotential is constructed in the form allowing us to find wave functions. The method does not require the knowledge of the explicit form of a potential and assumes only knowledge of the scattering amplitude for fixed level of energy.

Suggested Citation

  • Yuriy Valentinovich Zasorin, 2001. "On the method of pseudopotential for Schrödinger equation with nonlocal boundary conditions," Abstract and Applied Analysis, Hindawi, vol. 6, pages 1-10, January.
    • Handle: RePEc:hin:jnlaaa:682891
    DOI: 10.1155/S1085337501000689
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