Legendre-transform structure derived from quantum theorems

被引：9

作者：

Flego, S. P. ^{[4
]}

Plastino, A. ^{[1
,2
,3
,5
]}

Plastino, A. R. ^{[5
,6
,7
]}

机构：

[1] Natl Univ La Plata, Inst Fis IFLP CCT CONICET, RA-1900 La Plata, Argentina

[2] Univ Illes Balears, Palma de Mallorca 07122, Spain

[3] IFISC CSIC, Palma de Mallorca 07122, Spain

[4] Natl Univ La Plata, Fac Ingn, Depto Ciencias Basicas, RA-1900 La Plata, Argentina

[5] CREG Univ La Plata CONICET, La Plata, Buenos Aires, Argentina

[6] Univ Granada, Inst Carlos Fis Teor & Computac, Granada, Spain

[7] Univ Granada, Dept Fis Atom Mol & Nucl, Granada, Spain

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2011年 / 390卷 / 12期

关键词：

Virial theorem; Hellmann-Feynman theorem; Fisher information; MaxEnt; Reciprocity relations; FISHER-INFORMATION; DISTRIBUTIONS; THERMODYNAMICS; ARROW;

D O I：

10.1016/j.physa.2011.02.019

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

By recourse to (i) the Hellmann-Feynman theorem and (ii) the virial one, the information-optimizing principle based on Fisher's information measure uncovers a Legendre-transform structure associated with Schrodinger's equation, in close analogy with the structure that lies behind the standard thermodynamical formalism. The present developments provide new evidence for the information theoretical links based on Fisher's measure that exist between Schrodinger's equation, on the one hand, and thermodynamics/thermostatistics on the other hand. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：2276 / 2282

页数：7

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