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

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 $\ln (\rho )$, as well as with the three-dimensional analogs assuming a Coulomb potential.

16 pages, 2 figures

References in corpus (2)

• Pseudo Quantum Electrodynamics and Chern-Simons theory Coupled to Two-dimensional Electrons
• Solving two-dimensional non-relativistic electronic and muonic atoms governed by Chern-Simon potential

Cited by in corpus (1)

• On the influence of Maxwell--Chern--Simons electrodynamics in nuclear fusion involving electronic and muonic molecules