English

Solving two-dimensional non-relativistic electronic and muonic atoms governed by Chern-Simon potential

Quantum Physics 2021-09-22 v2 Atomic Physics

Abstract

Bidimensional muonic and electronic atoms, with nuclei composed of a proton, deuteron, and triton, and governed by Chern-Simons potential, are numerically solved. Their eigenvalues and eigenfunctions are determined with a slightly modified Numerov method. Results are compared with those assuming that the same atoms are governed by the usual 1/r1/r potential even in a two-dimensional space, as well as with its three-dimensional analogs.

Keywords

Cite

@article{arxiv.2009.03894,
  title  = {Solving two-dimensional non-relativistic electronic and muonic atoms governed by Chern-Simon potential},
  author = {Francisco Caruso and José A. Helayël-Neto and Vitor Oguri and Felipe Silveira},
  journal= {arXiv preprint arXiv:2009.03894},
  year   = {2021}
}

Comments

17 pages, 7 figures