English

Non-relativistic solutions for three-body molecules within a Chern-Simons model

Quantum Physics 2023-08-22 v1 Atomic and Molecular Clusters

Abstract

The wave functions and the ground state energies for the bound states of four different muonic and electronic molecules, governed by the Chern-Simons potential in two spatial dimensions, are numerically obtained with the Numerov method. The new results are compared with former planar configuration studies that consider the attractive potential as being proportional to ln(ρ)\ln(\rho), as well as with the three-dimensional analogs assuming a Coulomb potential.

Keywords

Cite

@article{arxiv.2109.09959,
  title  = {Non-relativistic solutions for three-body molecules within a Chern-Simons model},
  author = {Francisco Caruso and Vitor Oguri and Felipe Silveira and Amos Troper},
  journal= {arXiv preprint arXiv:2109.09959},
  year   = {2023}
}

Comments

16 pages, 2 figures

R2 v1 2026-06-24T06:10:08.812Z