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Wave function asymptotics for scattering of three-particles with Coulomb interaction

Mathematical Physics 2023-08-23 v1 math.MP Nuclear Theory Atomic Physics

Abstract

The coordinate asymptotics of the wave function for the problem of scattering of three particles with Coulomb interaction is constructed. Representation of hyperspherical functions is used to reduce the Schr\"odinger equation to a system of partial wave one-dimensional equations. Asymptotic solutions of this system are constructed by direct asymptotic methods.

Keywords

Cite

@article{arxiv.2206.07374,
  title  = {Wave function asymptotics for scattering of three-particles with Coulomb interaction},
  author = {S. L. Yakovlev},
  journal= {arXiv preprint arXiv:2206.07374},
  year   = {2023}
}

Comments

6 pages

R2 v1 2026-06-24T11:51:59.986Z