Mean-field approximation of quantum systems and classical limit

被引：38

作者：

Graffi, S ^{[1
]}

Martinez, A

Pulvirenti, M

机构：

[1] Univ Bologna, Dipartmento Matemat, I-40126 Bologna, Italy

[2] Univ Roma La Sapienza, Dipartimento Matemat, I-00185 Rome, Italy

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2003年 / 13卷 / 01期

关键词：

mean field approximation; classical limit; Vlasov equation; Hartree equation;

D O I：

10.1142/S0218202503002386

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that, for a smooth two-body potential, the quantum mean-field approximation to the nonlinear Schrodinger equation of the Hartree type is stable at the classical limit h --> 0, yielding the classical Vlasov equation.

引用

页码：59 / 73

页数：15

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