ダン　ユウヤ   DAN Yuya   檀　裕也    所属   松山大学  経営学部 経営学科    職種   教授
言語種別	日本語
発行・発表の年月	2017/03
形態種別	研究会報告
標題	The N-Representability Problem for Reduced Density Operators
執筆形態	単著
掲載誌名	解析学研究セミナー
掲載区分	国内
出版社・発行元	学習院大学
概要	In the seminar, we will discuss the N-representability problem for fermionic systems in terms of the Pauli exclusion principle and eigenvalues for reduced density matrices (operators). It has been proven that a one-particle reduced density operator is admissible, or there exists a density operator for N-particle systems corresponding to the wavefunction for Schrödinger equations, if and only if the operator is less than or equal to 1. The convexity for distribution of eigenvalues is essential in the proof. We are to go around the proof in detail to understand an important role of reduced density operators when we are faced to estimate the energies for quantum many-body systems.
PermalinkURL	http://pc1.math.gakushuin.ac.jp/Seminar/Analysis/