Performance analysis of a micro-scaled quantum Stirling refrigeration cycle J. Appl. Phys. 112, 064908 (2012) How to recover Marcus theory with fewest switches surface hopping: Add just a touch of decoherence J. Chem. Phys. 137, 22A513 (2012) On nonlocal Gross-Pitaevskii equations with periodic potentials J. Math. Phys. 53, 073709 (2012) Dynamics of a two-level system coupled to a bath of spins J. Chem. Phys. 137, 22A504 (2012)
Structural properties and energetics of diffuse 87Rb clusters in three-dimensionThe non-relativistic bosonic ground state is studied for quantum N-body systems with Coulomb interactions, modeling atoms or ions made of N "bosonic point electrons" bound to an atomic point nucleus of Z absolute "electron" charges, treated in Born-Oppenheimer approximation (the nuclear mass M = ∞). By adapting an argument of Hogreve, it is shown that the (negative) Bosonic ground state energy E B ∞ (Z , N ) yields the monotone non-decreasing function N → E B ∞ (λN , N )/N 3 for any λ > 0. The main part of the paper furnishes a proof that whenever λ ≥ λ * ≈ 1/1.21, then the limit ε(λ) := lim N →∞ E B ∞ (λN , N )/N 3 is governed by Hartree theory, and the rescaled bosonic ground state wave function factors into an infinite product of identical one-body wave functions determined by the Hartree equation. The proof resembles the construction of the thermodynamic mean-field limit of the classical ensembles with thermodynamically unstable interactions, except that here the ensemble is Born's, with |ψ| 2 as ensemble probability density function on R 3N , with the Fisher information functional in the variational principle for Born's ensemble playing the role of the negative Gibbs entropy functional in the free-energy variational principle for the classical petit-canonical configurational ensemble. C 2012 American Institute of Physics. [http://dx.