Fluctuations of collective coordinates and convexity theorems for energy surfaces

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• 作者：B.G. Giraudp>ap>p> ; p>p>bertrand.giraud@cea.frp> ; S. Karataglidisp>bp>p> ; p>p>cp>p> ; p>p>stevenka@uj.ac.zap> ; T. Samip>dp>p> ; p>p>sami@subatech.in2p3.frp>
• 关键词：Collective coordinates ; Convexity ; Energy landscapes ; Fluctuations
• 刊名：Annals of Physics
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：376
• 期：Complete
• 页码：296-310
• 全文大小：541 K
• 卷排序：376

文摘

Constrained energy minimizations of a many-body Hamiltonian return energy landscapes e(b)e(b) where b≡〈B〉pan>b≡〈B〉 represents the average value(s) of one (or several) collective operator(s), BB, in an “optimized” trial state ΦbΦb, and e≡〈H〉pan>e≡〈H〉 is the average value of the Hamiltonian in this state ΦbΦb. It is natural to consider the uncertainty, ΔeΔe, given that ΦbΦb usually belongs to a restricted set of trial states. However, we demonstrate that the uncertainty, ΔbΔb, 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.