SEMICLASSICAL ANALYSIS IN INFINITE DIMENSIONS: WIGNER MEASURES

被引：0

作者：

Falconi, Marco ^{[1
]}

机构：

[1] Univ Rome Tre, Dipartimento Matemat & Fis, Largo San Leonardo Murialdo 1, I-00146 Rome, Italy

来源：

BRUNO PINI MATHEMATICAL ANALYSIS SEMINAR | 2016年 / 1卷

关键词：

Wigner measures; Infinite dimensional semiclassical analysis; Weyl C*-algebra;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We review some aspects of semiclassical analysis for systems whose phase space is of arbitrary (possibly infinite) dimension. An emphasis will be put on a general derivation of the so-called Wigner classical measures as the limit of states in a non-commutative algebra of quantum observables.

引用

页码：18 / 35

页数：18

共 35 条

[1]

Ammari Z., 2016, ARXIV E PRINTS

[2]

Ammari Z, 2016, COMMUN MATH SCI, V14, P1417

[3] Mean Field Limit for Bosons and Infinite Dimensional Phase-Space Analysis [J].

Ammari, Zied ;

Nier, Francis .

ANNALES HENRI POINCARE, 2008, 9 (08) :1503-1574

[4]

Amour L, 2001, ASYMPTOTIC ANAL, V26, P135

[5]

Amour L., 2016, APPL MATH RES EXPRES

[6] On bounded pseudodifferential operators in Wiener spaces [J].

Amour, Laurent ;

Jager, Lisette ;

Nourrigat, Jean .

JOURNAL OF FUNCTIONAL ANALYSIS, 2015, 269 (09) :2747-2812

[7]

[Anonymous], 1969, ACTUALITES SCI IND

[8]

Bourbaki N., 1972, ELEMENTS MATH TOPOLO

[9] Invariant measures for the Gross-Piatevskii equation [J].

Bourgain, J .

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 1997, 76 (08) :649-702

[10] PERIODIC NONLINEAR SCHRODINGER-EQUATION AND INVARIANT-MEASURES [J].

BOURGAIN, J .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1994, 166 (01) :1-26

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