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math-ph1999
One Dimensional Regularizations of the Coulomb Potential with Application to Atoms in Strong Magnetic Fields
Raymond Brummelhuis, Mary Beth Ruskai, Elisabeth Werner
We consider one-dimensional regularizations of the Coulomb potential formed by taking a two-dimensional expectation of the Coulomb potential with respect to the Landau states. It i…
quant-ph1999
Minimal Entropy of States Emerging from Noisy Quantum Channels
C. King, M. B. Ruskai
In this paper, we consider the minimal entropy of qubit states transmitted through two uses of a noisy quantum channel, which is modeled by the action of a completely positive trac…
math.CA1999
Study of a Class of Regularizations of 1/|x| using Gaussian Integrals
Mary Beth Ruskai, Elisabeth Werner
This paper presents a comprehensive study of a class of functions which approximate 1/|x| for large x but which are finite at the origin. These functions arise naturally in the stu…