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Multipole Pseudopotential Method for Some Problems in Quantum Scattering

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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.

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Authors and Affiliations

  1. Institute of Mathematics, Voronezh State University, Voronezh, Russia

    Yu. V. Zasorin

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  1. Yu. V. Zasorin
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Zasorin, Y.V. Multipole Pseudopotential Method for Some Problems in Quantum Scattering. Theoretical and Mathematical Physics 135, 872–880 (2003). https://doi.org/10.1023/A:1024039222524

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  • DOI: https://doi.org/10.1023/A:1024039222524

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