论文标题

解决由Chern-Simon电位支配的二维非相关电子和Muonic原子

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

论文作者

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

论文摘要

二维muonic和电子原子,其核由质子,杜特龙和特里顿组成,由Chern-Simons电位组成,并在数值上解决。他们的特征值和特征函数是用稍微修改的Numerov方法确定的。将结果与假设相同原子受到通常的$ 1/r $潜力的结果进行比较,即使在二维空间中以及其三维类似物也是如此。

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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