Calculation of bound states and resonances in perturbed Coulomb models
classification
🧮 math-ph
math.MP
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boundcoulombmodelsperturbedresonancesstatesaccurateapproach
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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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