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

arXiv
Authors: Francisco Caruso, José A. Helayël-Neto, Vitor Oguri, Felipe Silveira

Year

2020

Paper ID

20863

Status

Preprint

Abstract Read

~2 min

Abstract Words

63

Citations

N/A

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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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • Bidimensional muonic and electronic atoms, with nuclei composed of a proton, deuteron, and triton, and governed by Chern-Simons potential, are numerically solved.

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