DERIVATION AND CLASSICAL LIMIT OF THE MEAN-FIELD EQUATION FOR A QUANTUM COULOMB SYSTEM - MAXWELL BOLTZMANN STATISTICS

被引：6

作者：

ANGELESCU, N ^{[1
]}

PULVIRENTI, M ^{[1
]}

TETA, A ^{[1
]}

机构：

[1] UNIV ROMA LA SAPIENZA,DIPARTIMENTO MATEMAT,I-00185 ROME,ITALY

来源：

JOURNAL OF STATISTICAL PHYSICS | 1994年 / 74卷 / 1-2期

关键词：

QUANTUM COULOMB SYSTEM; MAXWELL BOLTZMANN STATISTICS; FEYNMAN KAC FORMULA; MEAN-FIELD APPROXIMATION; CLASSICAL LIMIT;

D O I：

10.1007/BF02186811

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The mean-field density matrix of a charged plasma of quantum particles with Maxwell-Boltzmann statistics in a confining external potential is obtained as a limit of the N-body canonical states for suitably scaled charges. Also, it is shown that the density profile of the quantum mean-field theory converges to the solution of the classical mean-field equation when the Planck's constant tends to zero.

引用

页码：147 / 165

页数：19

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