A Laplace-moment pipeline using generalized Bertlmann-Martin inequalities and Pade approximants reconstructs radial quantum potentials from few bound-state energies on benchmark cases including Coulomb and harmonic oscillator potentials.
Röhrl, A least-squares functional for solving inverse sturm-liouville problems,In- verse Problems21(6) (2005) 2009–2017
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Inverse Quantum Potential Reconstruction via Generalized Bertlmann-Martin Inequalities
A Laplace-moment pipeline using generalized Bertlmann-Martin inequalities and Pade approximants reconstructs radial quantum potentials from few bound-state energies on benchmark cases including Coulomb and harmonic oscillator potentials.