Fluctuations of collective coordinates and convexity theorems for energy surfaces
Abstract
Constrained energy minimizations of a many-body Hamiltonian return energy landscapes e(b) where b=<B> representes the average value(s) of one (or several) collective operator(s), B, in an "optimized" trial state Phi_b, and e = <H> is the average value of the Hamiltonian in this state Phi_b. It is natural to consider the uncertainty, Delta e, given that Phi_b usually belongs to a restricted set of trial states. However, we demonstrate that the uncertainty, Delta b, must also be considered, acknowledging corrections to theoretical models. We also find a link between fluctuations of collective coordinates and convexity properties of energy surfaces.
Cite
@article{arxiv.1611.09061,
title = {Fluctuations of collective coordinates and convexity theorems for energy surfaces},
author = {B. G. Giraud and S. Karataglidis and T. Sami},
journal= {arXiv preprint arXiv:1611.09061},
year = {2017}
}
Comments
22 pages, 8 figures, accepted for publication in Annals of Physics. arXiv admin note: substantial text overlap with arXiv:1106.4702