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20032009
most citedAnalytical formulas for gravitational lensing

45 citations · 278 across the 29 of their papers we have counts for

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Showing 2006Show all

10 papers · 1 filter

gr-qc20064 cited

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…

gr-qc200618 cited

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…

quant-ph2006

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…

math-ph20062 cited

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…

gr-qc200637 cited

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…

quant-ph200623 cited

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…