Forms of Restraint: High Comic Renunciation in Three Plays

Forms of Restraint: High Comic Renunciation in Three Play

Life in a Silken Net: Mourning the Beloved Monstrous in Lydie Breeze

Life in a Silken Net: Mourning the Beloved Monstrous in Lydie Breez

Iphigénie en Tauried. By Christoph Willibald Gluck. Glimmerglass Opera, Cooperstown, New York. 19 August 1997

Iphigénie en Tauried. By Christoph Willibald Gluck. Glimmerglass Opera, Cooperstown, New York. 19 August 199

High Ambivalence: S.N. Behrman's Disembodiment Project

High Ambivalence: S.N. Behrman's Disembodiment Projec

Book Reviews

Book Review

A Rigorous Derivation of the Gross-Pitaevskii Energy Functional for a Two-Dimensional Bose Gas

We consider the ground state properties of an inhomogeneous two-dimensional Bose gas with a repulsive, short range pair interaction and an external confining potential. In the limit when the particle number $N$ is large but $\bar\rho a^2$ is small, where $\bar\rho$ is the average particle density and $a$ the scattering length, the ground state energy and density are rigorously shown to be given to leading order by a Gross-Pitaevskii (GP) energy functional with a coupling constant $g\sim 1/|\ln(\bar\rho a^2)|$. In contrast to the 3D case the coupling constant depends on $N$ through the mean density. The GP energy per particle depends only on $Ng$. In 2D this parameter is typically so large that the gradient term in the GP energy functional is negligible and the simpler description by a Thomas-Fermi type functional is adequate.Comment: 14 pages, no figures, latex 2e. References, some clarifications and an appendix added. To appear in Commun. Math. Phy