4 citations · 14 across the 7 of their papers we have counts for
7 papers
Modified Hamiltonian for a particle in an infinite box that includes wall effects
Leon Cohen, Rafael Sala Mayato, Patrick Laughlin
We give a modified Hamiltonian for a particle in a box with infinite potential walls that takes into account wall effects. The Hamiltonian is expressed in both the position and mom…
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…
Quasi-distributions for arbitrary non-commuting operators
J. S. Ben-Benjamin, L. Cohen
We present a new approach for obtaining quantum quasi-probability distributions, , for two arbitrary operators, and , where and are the cor…
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…