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arXiv · 1611.09061

Fluctuations of collective coordinates and convexity theorems for energy surfaces

B. G. Giraud·S. Karataglidis·T. Sami
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Abstract

Constrained energy minimizations of a many-body Hamiltonian return energy landscapes e(b) where b= representes the average value(s) of one (or several) collective operator(s), B, in an "optimized" trial state Phi_b, and e = 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.

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B. G. Giraud, S. Karataglidis, T. Sami. 2016-11-28. Fluctuations of collective coordinates and convexity theorems for energy surfaces. https://doi.org/10.1016/j.aop.2016.11.015

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