2016/11/28 by B. G. Giraud, S. Karataglidis, T. Sami
Physics and Astronomy · Mathematics · #nucl-th #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1016/j.aop.2016.11.015
22 pages, 8 figures, accepted for publication in Annals of Physics. arXiv admin note: substantial text overlap with arXiv:1106.4702
arxiv created 2016/11/28 · arxiv updated 2017/03/08
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 Phib, and e = <H> is the average value of the Hamiltonian in this state Phib. It is natural to consider the uncertainty, Delta e, given that Phib 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.