Mean-field- and classical limit of many-body Schrodinger dynamics for bosons

被引：62

作者：

Froehlich, Jierg ^{[1
]}

Graffi, Sandro

Schwarz, Simon

机构：

[1] ETH, Theoret Phys, Zurich, Switzerland

[2] Univ Bologna, Dipartmento Matemat, Bologna, Italy

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2007年 / 271卷 / 03期

关键词：

D O I：

10.1007/s00220-007-0207-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present a new proof of the convergence of the N-particle Schrodinger dynamics for bosons towards the dynamics generated by the Hartree equation in the mean-field limit. For a restricted class of two-body interactions, we obtain convergence estimates uniform in h, up to an exponentially small remainder. For h = 0, the classical dynamics in the mean-field limit is given by the Vlasov equation.

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页码：681 / 697

页数：17

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