## Abstract

We consider a multichannel scattering problem in an adiabatic representation. We assume that the

nonadiabatic coupling matrix has a nontrivial value at large internuclear separations, and we construct

asymptotic solutions at large internuclear distances. We show that these solutions up to the first order

of the perturbation theory are identical to the asymptotic solutions of the reprojection approach, which

was previously proposed as a means for solving the electron translation problem in the context of the

Born–Oppenheimer method.

nonadiabatic coupling matrix has a nontrivial value at large internuclear separations, and we construct

asymptotic solutions at large internuclear distances. We show that these solutions up to the first order

of the perturbation theory are identical to the asymptotic solutions of the reprojection approach, which

was previously proposed as a means for solving the electron translation problem in the context of the

Born–Oppenheimer method.

Original language | English |
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Pages (from-to) | 874-885 |

Number of pages | 12 |

Journal | Theoretical and Mathematical Physics |

Volume | 195 |

Issue number | 3 |

DOIs | |

Publication status | Published - 1 Jun 2018 |

## Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics