Non-Born-Oppenheimer corrections in an exactly solvable model of the hydrogen ion molecule

Ramiro Pino, Vladimiro Mujica

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

We have obtained some exact solutions for a solvable model for the hydrogen molecular ion where the Coulomb interaction between the electron and the nuclei is replaced by a harmonic potential. We have also obtained the solutions to this model within the ordinary Born-Oppenheimer (BO) approximation for the electronic and nuclear degrees of freedom. The model shows some of the qualitative features of the real system and allows for a detailed study of non-adiabatic effects on the electronic structure through the calculation of the first-order corrections to the BO approximation, resulting from the nuclear kinetic energy and the vibronic coupling. The results are of interest in the context of non-adiabatic treatment of molecules and for the description of molecules in external magnetic fields.

Original languageEnglish
Pages (from-to)4537-4544
Number of pages8
JournalJournal of Physics B: Atomic, Molecular and Optical Physics
Volume31
Issue number20
DOIs
Publication statusPublished - Oct 28 1998

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hydrogen ions
Born-Oppenheimer approximation
molecules
molecular ions
degrees of freedom
kinetic energy
electronic structure
harmonics
nuclei
electronics
magnetic fields
electrons
interactions

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Physics and Astronomy(all)

Cite this

Non-Born-Oppenheimer corrections in an exactly solvable model of the hydrogen ion molecule. / Pino, Ramiro; Mujica, Vladimiro.

In: Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 31, No. 20, 28.10.1998, p. 4537-4544.

Research output: Contribution to journalArticle

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