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arXiv · 2009.03894

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

Francisco Caruso·José A. Helayël-Neto·Vitor Oguri·Felipe Silveira
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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 $1/r$ potential even in a two-dimensional space, as well as with its three-dimensional analogs.

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Francisco Caruso, José A. Helayël-Neto, Vitor Oguri, Felipe Silveira. 2020-09-08. Solving two-dimensional non-relativistic electronic and muonic atoms governed by Chern-Simon potential. https://doi.org/10.1016/j.physe.2020.114521

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