English

Analytical solutions of the Schrodinger equation for the one-dimensional hydrogen molecular ion

Quantum Physics 2021-12-28 v1 Atomic Physics Chemical Physics

Abstract

We present analytical solutions of the Schrodinger equation for the one-dimensional hydrogen molecular ion. In particular, we present closed form expressions for the electronic energy curves of this system that correspond to the ground state and the first excited state. Our results agree with numerical solutions obtained before.

Keywords

Cite

@article{arxiv.2112.13135,
  title  = {Analytical solutions of the Schrodinger equation for the one-dimensional hydrogen molecular ion},
  author = {Stavros Theodorakis},
  journal= {arXiv preprint arXiv:2112.13135},
  year   = {2021}
}

Comments

8 pages, 9 figures