Numerical methods for time-dependent Schrödinger equations

瞬态薛定谔方程的数值方法

• 批准号: 273812169
• 负责人: Professor Dr. Andreas Meister
• 金额: --
• 依托单位: Centro de Excelencia de Modelación y Computación Científica (CEMCC)
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2015
• 资助国家: 德国
• 起止时间: 2014-12-31 至 2016-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/273812169?language=en
• 关键词: Numerical; methods; time; dependent; Schr

The project is concerned with the development and analysis of a numerical method for the time-dependent Schrödinger equations. Currently, numerical schemes are restricted to a set of parameter values, which do not allow for simulations of real life processes. Based on the results obtained in the stationary case, we focus on the challenge to design an efficient and robust scheme, which is applicable to realistic unsteady problems. The method includes modern error based mesh adaption and will be implemented in the open-source library deal.II. Thus, beside usual publications, the algorithm will be directly available to scientist via this library.

该项目涉及针对时间依赖的schrödinger方程的数值方法的开发和分析。当前，数值方案仅限于一组参数值，这些值不允许对现实生活过程进行模拟。根据在固定案例中获得的结果，我们专注于设计有效，健壮的方案的挑战，该方案适用于现实的不稳定问题。该方法包括基于现代错误的网格改编，并将在开源库Deal.ii中实现。除了通常的出版物外，该算法将通过该图书馆直接向科学家使用。