112 citations · 1.1k across the 124 of their papers we have counts for
5 papers · 1 filter
Eigenvalues from power--series expansions: an alternative approach
P. Amore, F. M. Fernandez
An appropriate rational approximation to the eigenfunction of the Schrödinger equation for anharmonic oscillators enables one to obtain the eigenvalue accurately as the limit of a…
The Schrödinger equation with piercings
Paolo Amore
We show that the spectrum of the Schrödinger equation in two or higher dimensions does not change when Dirichlet boundary conditions are enforced on a number of isolated points ins…
Discrete Higgs and the Cosmological Constant
Paolo Amore, Alfredo Aranda, J. Lorenzo Diaz-Cruz
It is proposed that the Higgs vacuum possesses a small-scale structure that can explain the large discrepancy between the predicted electroweak vacuum energy density and the observ…
A new method for studying the vibration of non-homogeneous membranes
Paolo Amore
We present a method to solve the Helmholtz equation for a non-homogeneous membrane with Dirichlet boundary conditions at the border of arbitrary two-dimensional domains. The method…
Solving the Helmholtz equation for membranes of arbitrary shape
Paolo Amore
I calculate the modes of vibration of membranes of arbitrary shape using a collocation approach based on Little Sinc Functions. The matrix representation of the PDE obtained using…