112 citations · 1.1k across the 124 of their papers we have counts for
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Accurate calculation of the complex eigenvalues of the Schrödinger equation with an exponential potential
Paolo Amore, Francisco M. Fernandez
We show that the Riccati--Padé method is suitable for the calculation of the complex eigenvalues of the Schrödinger equation with a repulsive exponential potential. The accuracy of…
Inversion of perturbation series
Paolo Amore, Francisco M. Fernandez
We investigate the inversion of perturbation series and its resummation, and prove that it is related to a recently developed parametric perturbation theory. Results for some illus…
Rational Approximation for Two-Point Boundary value problems
Paolo Amore, Francisco M. Fernandez
We propose a method for the treatment of two--point boundary value problems given by nonlinear ordinary differential equations. The approach leads to sequences of roots of Hankel d…
Going beyond perturbation theory: Parametric Perturbation Theory
Paolo Amore
We devise a {\sl non--perturbative} method, called {\sl Parametric Perturbation Theory} (PPT), which is alternative to the ordinary perturbation theory. The method relies on a prin…
A new approach to resummation: Parametric Perturbation Theory
Paolo Amore
We present a {\sl non--perturbative} method, called {\sl Parametric Perturbation Theory} (PPT), which is alternative to the ordinary perturbation theory. The method relies on a pri…
A new representation for non--local operators and path integrals
Paolo Amore
We derive an alternative representation for the relativistic non--local kinetic energy operator and we apply it to solve the relativistic Salpeter equation using the variational si…