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The Generalized Stationary Scattering Problems

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Abstract

We introduce and investigate the important notion of the generalized stationary scattering function for Schrödinger and Dirac radial equations. In particular, this notion is fruitful in the case of Coulomb-type potentials. Although generalized dynamical scattering functions were introduced and actively studied in the previous century, the notion of the generalized stationary scattering function is new.

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Acknowledgements

The author is grateful to Alexander Sakhnovich for the fruitful discussion and help in the preparation of the manuscript.

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Authors and Affiliations

  1. Courant Institute of Mathematical Sciences, New York University, Milford, CT, USA

    Lev Sakhnovich

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  1. Lev Sakhnovich
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Correspondence to Lev Sakhnovich.

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Communicated by Bernd Kirstein.

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Sakhnovich, L. The Generalized Stationary Scattering Problems. Complex Anal. Oper. Theory 12, 607–613 (2018). https://doi.org/10.1007/s11785-017-0700-6

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  • DOI: https://doi.org/10.1007/s11785-017-0700-6

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