55 citations · 91 across the 7 of their papers we have counts for
7 papers
An Application of Value Distribution Theory to Schroedinger Operators with Absolutely Continuous Spectrum
Charles Fulton, David Pearson, Steven Pruess
We use the "Value Distribution" theory developed by Pearson and Breimesser to obtain a sequence of functions in the eigenvalue parameter for some Sturm-Liouville problems which hav…
Error and unsharpness in approximate joint measurements of position and momentum
Paul Busch, David B Pearson
In recent years, novel quantifications of measurement error in quantum mechanics have for the first time enabled precise formulations of Heisenberg's famous but often challenged me…
Algorithms for estimating spectral density functions for periodic potentials on the half line
Charles Fulton, David Pearson, Steven Pruess
For Hill's equation on [0,infinity) we prove new characterizations of the spectral function rho(lambda) and the spectral density function f(lambda) based on analysis involving a co…
Estimating Spectral Density Functions for Sturm-Liouville problems with two singular endpoints
Charles Fulton, David Pearson, Steven Pruess
In this paper we consider the Sturm-Liouville equation -y"+qy = lambda*y on the half line (0,infinity) under the assumptions that x=0 is a regular singular point and nonoscillatory…
Universal joint-measurement uncertainty relation for error bars
Paul Busch, David B. Pearson
We formulate and prove a new, universally valid uncertainty relation for the necessary errors bar widths in any approximate joint measurement of position and momentum.
Value distribution and spectral theory of Schrodinger operators with L^2-sparse potentials
S. V. Breimesser, James D. E. Grant, D. B. Pearson
We apply the methods of value distribution theory to the spectral asymptotics of Schrodinger operators with L^2-sparse potentials.