English

Hydrogen in a cavity

Atomic Physics 2019-02-18 v2 Quantum Physics

Abstract

The system of a proton and an electron in an inert and impenetrable spherical cavity is studied by solving Schr\"{o}dinger equation with the correct boundary conditions. The differential equation of a hydrogen atom in a cavity is derived. The numerical results are obtained with the help a power and efficient few-body method, Gaussian Expansion Method. The results show that the correct implantation of the boundary condition is crucial for the energy spectrum of hydrogen in a small cavity.

Keywords

Cite

@article{arxiv.1902.05355,
  title  = {Hydrogen in a cavity},
  author = {Jialun Ping and Hongshi Zong},
  journal= {arXiv preprint arXiv:1902.05355},
  year   = {2019}
}

Comments

4 pages; 3 figures

R2 v1 2026-06-23T07:40:57.382Z