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Lagrange-mesh calculations of excited states of three-body atoms and molecules

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Abstract:

Energies of S and P bound states of the helium atom He, the hydrogen ion H [iopmath latex="$^-$"] - [/iopmath] , the hydrogen molecular ion H [iopmath latex="$_2^+$"] 2+ [/iopmath] and the muonic molecule [iopmath latex="$\rm d t\mu$"] dt [/iopmath] are calculated with the Lagrange-mesh numerical method. Interparticle distances and mass radii of these states are evaluated very simply with the Gauss quadrature approximation associated with the mesh. Except for weakly bound states, highly accurate values are obtained, which agree with or improve published results.

Document Type: Miscellaneous

Publication date: January 1, 2001

iop/jphysb/2001/00000034/00000008/art00308
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