Concavity Theorems for Energy Surfaces

2011/06/23 by B. G. Giraud, Giraud, B. G., S. Karataglidis +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nuclear Theory (nucl-th) #Scientific Research and Discoveries #Theoretical and Computational Physics #math-ph #math.MP #nucl-th

paper · pdf · doi:10.48550/arxiv.1106.4702

6 pages, 5 figures, typo corrected

openalex publication_date 2011/06/23 · arxiv created 2013/05/09 · arxiv updated 2013/05/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Concavity properties prevent the existence of significant landscapes in energy surfaces obtained by strict constrained energy minimizations. The inherent contradiction is due to fluctuations of collective coordinates. A solution to those fluctuations is given.

Cited by

• Fluctuations of collective coordinates and convexity theorems for energy surfaces

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