34 citations · 117 across the 29 of their papers we have counts for
4 papers · 1 filter
Local Density Approximation for Almost-Bosonic Anyons
M. Correggi, D. Lundholm, N. Rougerie
We discuss the average-field approximation for a trapped gas of non-interacting anyons in the quasi-bosonic regime. In the homogeneous case, i.e., for a confinement to a bounded re…
On the critical exponent in an isoperimetric inequality for chords
Pavel Exner, Martin Fraas, Evans M. Harrell
The problem of maximizing the norms of chords connecting points on a closed curve separated by arclength arises in electrostatic and quantum--mechanical problems. It is k…
Inequalities for means of chords, with application to isoperimetric problems
Pavel Exner, Evans M. Harrell, Michael Loss
We consider a pair of isoperimetric problems arising in physics. The first concerns a Schrödinger operator in with an attractive interaction supported on a clos…
Optimal eigenvalues for some Laplacians and Schrödinger operators depending on curvature
Pavel Exner, Evans M. Harrell, Michael Loss
This article is an expanded version of the plenary talk given by Evans Harrell at QMath98, a meeting in Prague, June 1998. We consider Laplace operators and Schrödinger operators w…