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

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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. Their eigenvalues and eigenfunctions are determined with a… Click to show full 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.

Keywords: chern simons; simons potential; atoms governed; solving two; two dimensional; governed chern

Journal Title: Physica E: Low-dimensional Systems and Nanostructures
Year Published: 2020

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