Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5495886 | Annals of Physics | 2017 | 15 Pages |
Abstract
Constrained energy minimizations of a many-body Hamiltonian return energy landscapes e(b) where bâ¡ãBã represents the average value(s) of one (or several) collective operator(s), B, in an “optimized” trial state Φb, and eâ¡ãHã is the average value of the Hamiltonian in this state Φb. It is natural to consider the uncertainty, Îe, given that Φb usually belongs to a restricted set of trial states. However, we demonstrate that the uncertainty, Îb, 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.
Related Topics
Physical Sciences and Engineering
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Authors
B.G. Giraud, S. Karataglidis, T. Sami,