N-可表示性问题、反对称1-体算子的伪谱分解和集体行为
The N-representability problem, the pseudo-spectral decomposition of antisymmetric 1-body operators, and collective behaviour
摘要：
导出了$N$ -粒子反对称1-体半正定算子的伪谱分解，它对应于费米子$N$ -可表示的$1$-密度算子集的对偶锥的极值元的正则凸分解.本文试图建立一个由伪谱分解产生的$N$ -费米子系统集体行为的数学模型。
英文摘要：
The pseudo--spectral decomposition of an $N$--particle antisymmetric 1--body positive--semidefinite operator that corresponds to the canonical convex decomposition into the extreme elements of the dual cone of the set of fermion $N$--representable $1$--density operators has been derived. An attempt at constucting a mathematical model for collective behaviour of a system of $N$--fermions that originates from the pseudo--spectral decomposition is presented.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
