112 citations · 1.1k across the 124 of their papers we have counts for
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Non perturbative series for the calculation of one loop integrals at finite temperature
Paolo Amore
The calculation of one loop integrals at finite temperature requires the evaluation of certain series, which converge very slowly or can even be divergent. Here we review a new met…
Dispersion relation of the non-linear Klein-Gordon equation through a variational method
P. Amore, A. Raya
We derive approximate expressions for the dispersion relation of the nonlinear Klein-Gordon equation in the case of strong nonlinearities using a method based on the Linear Delta E…
A new approximation method for time-dependent problems in quantum mechanics
Paolo Amore, Alfredo Aranda, Francisco M. Fernandez +1
We propose an approximate solution of the time-dependent Schrödinger equation using the method of stationary states combined with a variational matrix method for finding the energi…
Non perturbative regularization of one loop integrals at finite temperature
Paolo Amore
A method devised by the author is used to calculate analytical expressions for one loop integrals at finite temperature. A non-perturbative regularization of the integrals is perfo…
Asymptotic and exact series representations for the incomplete Gamma function
Paolo Amore
Using a variational approach, two new series representations for the incomplete Gamma function are derived: the first is an asymptotic series, which contains and improves over the…