Global-in-time semiclassical regularity for the Hartree-Fock equation

被引：4

作者：

Chong, J. J. ^{[1
]}

Lafleche, L. ^{[1
]}

Saffirio, C. ^{[2
]}

机构：

[1] Univ Texas Austin, Dept Math, Austin, TX 78712 USA

[2] Dept Math & Comp Sci, Spiegelgasse 1, CH-4051 Basel, Switzerland

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2022年 / 63卷 / 08期

关键词：

POISSON SYSTEM; EXISTENCE; UNIQUENESS; BEHAVIOR; LIMIT;

D O I：

10.1063/5.0089741

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

For arbitrarily large times T > 0, we prove the uniform-in-h propagation of semiclassical regularity for the solutions to the Hartree-Fock equation with singular interactions of the form V(x) = +/-|x|(-a) with a is an element of (0, 1/2). As a by-product of this result, we extend to arbitrarily long times the derivation of the Hartree-Fock and the Vlasov equations from the many-body dynamics provided in the work of Chong et al. [arXiv:2103.10946 (2021)]. (C) 2022 Author(s).

引用

页数：9

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