3 citations · 7 across the 5 of their papers we have counts for
5 papers
Identifying Resonant Poles by Visual Inspection of Pole-Zero Plots
Amro El-Jaroudi, Patrick Loughlin
We derive the s- and z-plane pole regions for continuous-time and discrete-time LTI systems to yield resonance. In this way, resonance can be identified by visual inspection of the…
Characteristic function and operator approach to M-indeterminate probability densities
Patrick Loughlin, Leon Cohen
Based on a quantum mechanical approach, we investigate moment- (or M-) indeterminate probability densities by way of the characteristic function and self-adjoint operators. The app…
Generating M-indeterminate probability densities by way of quantum mechanics
Rafael Sala Mayato, Patrick Loughlin, Leon Cohen
Probability densities that are not uniquely determined by their moments are said to be "moment-indeterminate", or "M-indeterminate". Determining whether or not a density is M-indet…
M-indeterminate distributions in quantum mechanics and the non-overlapping wave function paradox
Rafael Sala Mayato, Patrick Loughlin, Leon Cohen
We consider the non-overlapping wave function paradox of Aharanov \textit{et al.}, wherein the relative phase between two wave functions cannot be measured by the moments of positi…
What is the Wigner function closest to a given square integrable function?
J. S. Ben-Benjamin, L. Cohen, N. C. Dias +2
We consider an arbitrary square integrable function on the phase space and look for the Wigner function closest to it with respect to the norm. It is well known that the…