112 citations · 1.1k across the 124 of their papers we have counts for
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Weakly bound states in heterogeneous waveguides
Paolo Amore, Francisco M. Fernandez, Christoph P. Hofmann
We study the spectrum of the Helmholtz equation in a two-dimensional infinite waveguide, containing a weak heterogeneity localized at an internal point, and obeying Dirichlet bound…
High order eigenvalues for the Helmholtz equation in complicated non-tensor domains through Richardson Extrapolation of second order finite differences
Paolo Amore, John P. Boyd, Francisco M. Fernandez +1
We apply second order finite difference to calculate the lowest eigenvalues of the Helmholtz equation, for complicated non-tensor domains in the plane, using different grids which…
On the symmetry of three identical interacting particles in a one-dimensional box
Paolo Amore, Francisco M. Fernández
We study a quantum-mechanical system of three particles in a one-dimensional box with two-particle harmonic interactions. The symmetry of the system is described by the point group…