Skip to Main content Skip to Navigation
Journal articles

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$$\equiv$ $\langle {B} \rangle$ representes the average value(s) of one (or several) collective operator(s), $B$, in an "optimized" trial state $\Phi_b$, and $e$$\equiv$ $\langle {H} \rangle$ 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.
Document type :
Journal articles
Complete list of metadata

Cited literature [23 references]  Display  Hide  Download
Contributor : Sylvie Flores Connect in order to contact the contributor
Submitted on : Monday, July 6, 2020 - 2:05:19 PM
Last modification on : Friday, January 7, 2022 - 3:52:08 AM
Long-term archiving on: : Friday, September 25, 2020 - 2:55:03 PM


Files produced by the author(s)



B.G. Giraud, S. Karataglidis, T. Sami. Fluctuations of collective coordinates and convexity theorems for energy surfaces. Annals of Physics, Elsevier Masson, 2017, 376, pp.296 - 310. ⟨10.1016/j.aop.2016.11.015⟩. ⟨in2p3-01468960⟩



Les métriques sont temporairement indisponibles