112 citations · 1.1k across the 124 of their papers we have counts for
11 papers · 1 filter
Comment to ``Quantization of FRW spacetimes in the presence of a cosmological constant and radiation''
Paolo Amore, Alfredo Aranda, Mayra Cervantes +2
The quantization of the Friedmann-Robertson-Walker spacetime in the presence of a negative cosmological constant was used in a recent paper to conclude that there are solutions tha…
Strong gravitational lensing from compact bodies: analytical results
Paolo Amore, Mayra Cervantes, Arturo De Pace +1
We develop a non--perturbative method that yields analytical expressions for the deflection angle of light in a general static and spherically symmetric metric. It is an improvemen…
On Dalgarno and Lewis Perturbation Theory for Scattering States
Paolo Amore, Francisco M. Fernandez
We apply the method of Dalgarno and Lewis to scattering states and discuss the choice of the unperturbed model in order to have a convergent perturbation series for the phase shift…
Iterative solution of differential equations
Paolo Amore, Hakan Ciftci, Francisco M. Fernandez
We discuss alternative iteration methods for differential equations. We provide a convergence proof for exactly solvable examples and show more convenient formulas for nontrivial p…
Analytical formulas for gravitational lensing: higher order calculation
Paolo Amore, Santiago Arceo, Francisco Fernandez
We extend to higher order a recently published method for calculating the deflection angle of light in a general static and spherically symmetric metric. Since the method is conver…
Variational collocation on finite intervals
Paolo Amore, Mayra Cervantes, Francisco M. Fernández
In this paper we study a new family of sinc--like functions, defined on an interval of finite width. These functions, which we call ``little sinc'', are orthogonal and share many o…
Development of accurate solutions for a classical oscillator
Paolo Amore, Nestor Sanchez
We present a method to obtain arbitrarily accurate solutions for conservative classical oscillators. The method that we propose here works both for small and large nonlinearities a…
Application of the Asymptotic Iteration Method to a Perturbed Coulomb Model
Paolo Amore, Francisco M. Fernandez
We show that the asymptotic iteration method converges and yields accurate energies for a perturbed Coulomb model. We also discuss alternative perturbation approaches to that model…
Analytical formulas for gravitational lensing
Paolo Amore, Santiago Arceo Diaz
In this paper we discuss a new method which can be used to obtain arbitrarily accurate analytical expressions for the deflection angle of light propagating in a given metric. Our m…
Analytical approximations to the spectra of quark-antiquark potentials
Paolo Amore, Arturo De Pace, Jorge Lopez
A method, recently devised to obtain analytical approximations to certain classes of integrals, is used in combination with the WKB expansion to derive accurate analytical expressi…
A variational sinc collocation method for strong-coupling problems
Paolo Amore
We have devised a variational sinc collocation method (VSCM) which can be used to obtain accurate numerical solutions to many strong-coupling problems. Sinc functions with an optim…