冷气体中的热点话题

IF 1.8 3区数学 Q1 MATHEMATICS

Japanese Journal of Mathematics Pub Date : 2009-08-25 DOI:10.1142/9789814304634_0013

R. Seiringer

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引用次数: 16

摘要

本文综述了近年来关于稀量子气体低温性质的数学结果。本报告包括讨论玻色-爱因斯坦凝聚，困住气体的激发谱及其与超流动性的关系，以及旋转系统中量子化漩涡的出现。所有这些性质都在目前的冷原子气体实验中得到了深入的研究。我们将从潜在的多体Schrödinger方程开始，描述理解这些现象所涉及的数学。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Hot topics in cold gases

We present an overview of mathematical results on the low temperature properties of dilute quantum gases, which have been obtained in the past few years. The presentation includes a discussion of Bose–Einstein condensation, the excitation spectrum for trapped gases and its relation to superfluidity, as well as the appearance of quantized vortices in rotating systems. All these properties are intensely being studied in current experiments on cold atomic gases. We will give a description of the mathematics involved in understanding these phenomena, starting from the underlying many-body Schrödinger equation.

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来源期刊

Japanese Journal of Mathematics 数学-数学

CiteScore

3.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The official journal of the Mathematical Society of Japan, the Japanese Journal of Mathematics is devoted to authoritative research survey articles that will promote future progress in mathematics. It encourages advanced and clear expositions, giving new insights on topics of current interest from broad perspectives and/or reviewing all major developments in an important area over many years. An eminent international mathematics journal, the Japanese Journal of Mathematics has been published since 1924. It is an ideal resource for a wide range of mathematicians extending beyond a small circle of specialists. The official journal of the Mathematical Society of Japan. Devoted to authoritative research survey articles that will promote future progress in mathematics. Gives new insight on topics of current interest from broad perspectives and/or reviews all major developments in an important area over many years.