Calculation of bound states and resonances in perturbed Coulomb models

Details Calculation of bound states and resonances in perturbed Coulomb models Calculation of bound states and resonances in perturbed Coulomb models

2007-11-19

arxiv.org/abs/0711.3036v1

Physics

Mathematical Physics

Scientific paper

10.1016/j.physleta.2008.01.020

We calculate accurate bound states and resonances of two interesting
perturbed Coulomb models by means of the Riccati-Pad\'{e} method. This approach
is based on a rational approximation to a modified logarithmic derivative of
the eigenfunction and produces sequences of roots of Hankel determinants that
converge towards the eigenvalues of the equation.

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