This article is cited in 1 paper

Multipole Pseudopotential Method for Some Problems in Quantum Scattering

Yu. V. Zasorin

Voronezh State University

Abstract: We construct a multipole pseudopotential that allows reconstructing the wave function in some problems in quantum scattering theory that are described by a nonlinear wave equation with a potential of compact support and a nonlocal boundary condition given in terms of the scattering amplitude. We establish that the structure of the wave function is completely defined by the scattering amplitude and is independent of the choice of the potential.

Keywords: multipole pseudopotential, partial scattering amplitude.

Received: 13.06.2002

DOI: 10.4213/tmf206

 English version: Theoretical and Mathematical Physics, 2003, 135:3, 872–880

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