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.

该项目涉及发展和分析含时薛定谔方程的数值方法。目前，数值方案仅限于一组参数值，不允许模拟真实的生命过程。基于在平稳情况下得到的结果，我们专注于设计一个有效的和强大的计划，这是适用于现实的非定常问题的挑战。该方法包括基于现代误差的网格自适应，并将在开源库deal中实现。因此，除了通常的出版物，该算法将直接提供给科学家通过这个图书馆。