具有随机势的非线性薛定谔方程的近似扩散

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-01-29 DOI:10.3233/asy-241894

Grégoire Barrué, Arnaud Debussche, Maxime Tusseau

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引用次数: 0

摘要

我们证明了随机非线性薛定谔（NLS）方程是具有相关长度消失的随机势的 NLS 方程的极限。我们将扰动检验函数法推广到分散方程的范畴。除了在无限维度下工作的困难之外，我们还处理了随机扰动的情况，而随机扰动并不假定是均匀有界的。

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Approximation diffusion for the Nonlinear Schrödinger equation with a random potential

We prove that the stochastic Nonlinear Schrödinger (NLS) equation is the limit of NLS equation with random potential with vanishing correlation length. We generalize the perturbed test function method to the context of dispersive equations. Apart from the difficulty of working in infinite dimension, we treat the case of random perturbations which are not assumed uniformly bounded.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.