Mean Field Limit for Bosons and Infinite Dimensional Phase-Space Analysis

被引：79

作者：

Ammari, Zied ^{[1
]}

Nier, Francis ^{[2
]}

机构：

[1] Univ Cergy Pontoise, Dept Math, CNRS, UMR 8088, F-95302 Cergy Pontoise, France

[2] Univ Rennes 1, CNRS, UMR 6625, IRMAR, F-35042 Rennes, France

来源：

ANNALES HENRI POINCARE | 2008年 / 9卷 / 08期

关键词：

D O I：

10.1007/s00023-008-0393-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This article proposes the construction of Wigner measures in the infinite dimensional bosonic quantum field theory, with applications to the derivation of the mean field dynamics. Once these asymptotic objects are well defined, it is shown how they can be used to make connections between different kinds of results or to prove new ones.

引用

页码：1503 / 1574

页数：72

共 46 条

[1]

AMOUR L, 2001, ASYMPTOTIC ANAL, V26

[2]

[Anonymous], 1986, METHOD 2 QUANTIZATIO

[3]

[Anonymous], 1984, ASTERISQUE

[4]

[Anonymous], 1985, ANAL LINEAR PARTIAL

[5]

[Anonymous], 1987, PROGR MATH

[6]

[Anonymous], 1991, SEMINAIRE EQUATIONS

[7]

[Anonymous], 1993, QUANTUM PROBABILITY, DOI DOI 10.1007/978-3-662-21558-6

[8] From repeated to continuous quantum interactions [J].

Attal, S ;

Pautrat, Y .

ANNALES HENRI POINCARE, 2006, 7 (01) :59-104

[9]

Baez J. C., 1992, PRINCETON SERIES PHY

[10] Accuracy of the time-dependent Hartree-Fock approximation for uncorrelated initial states [J].

Bardos, C ;

Golse, F ;

Gottlieb, AD ;

Mauser, NJ .

JOURNAL OF STATISTICAL PHYSICS, 2004, 115 (3-4) :1037-1055

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