Representability Conditions and Correlations

可表征性条件和相关性

• 批准号: 399154669
• 负责人: Professor Dr. Volker Bach
• 金额: --
• 依托单位: Institut für Analysis und Algebra
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2018
• 资助国家: 德国
• 起止时间: 2017-12-31 至 2020-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/399154669?language=en
• 关键词: Representability; Conditions; Correlations

For the continuation of the research project "Representability Conditions and Correlations" which has applications in physics, for one more year financial support is applied for.It is planned that the doctoral researcher continues his analysis of the representability condition for reduced 1- and 2-fernion density matrices by studying the quotient of these conditions under Bogolubov tranformations.It is further planned that he defines a metric that allows to measure the distance of a given fermion operator to the closest representable density matrix, thus reformulating representability as a geometric approximation problem.

为了继续进行在物理学中有应用的研究项目“可表示性条件和相关性”，一年以上的财政支持申请。计划博士研究员继续他的代表性条件的分析减少1-和2-通过研究Bogolubov变换下这些条件的商来计算fernion密度矩阵。他还计划定义一个度量，测量给定费米子算子到最接近的可表示密度矩阵的距离，从而将可表示性重新表述为几何近似问题。