Excitation Spectrum of Interacting Bosons in the Mean-Field Infinite-Volume Limit

被引：0

作者：

Jan Dereziński

Marcin Napiórkowski

机构：

[1] University of Warsaw,Department of Mathematical Methods in Physics, Faculty of Physics

来源：

Annales Henri Poincaré | 2014年 / 15卷

关键词：

Excitation Spectrum; Zero Mode; Partial Isometry; Extended Space; Physical Hilbert Space;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider homogeneous Bose gas in a large cubic box with periodic boundary conditions, at zero temperature. We analyze its excitation spectrum in a certain kind of a mean-field infinite-volume limit. We prove that under appropriate conditions the excitation spectrum has the form predicted by the Bogoliubov approximation. Our result can be viewed as an extension of the result of Seiringer (Commun. Math. Phys. 306:565–578, 2011) to large volumes.

引用

页码：2409 / 2439

页数：30

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[2] Erratum to: Excitation Spectrum of Interacting Bosons in the Mean-Field Infinite-Volume Limit
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