Kummer variety, geometry of N-representability, and phase transitions

被引：18

作者：

Coleman, A. John ^{[1
]}

机构：

[1] Dept. of Mathematics and Statistics, Queen's University, Kingston, Ont. K7L 3N6, Canada

来源：

Physical Review A - Atomic, Molecular, and Optical Physics | 2002年 / 66卷 / 02期

关键词：

Approximation theory - Electron energy levels - Fermions - Ground state - Hamiltonians - Phase transitions - Polynomials - Probability density function;

D O I：

10.1103/PhysRevA.66.022503

中图分类号：

学科分类号：

摘要：

An alternative approach for understanding the problem of N identical interacting particles in quantum mechanics is presented. In particular, it is shown that the Kummer variety (KV) is a complete solution of the N-representability problem. Furthermore, it provides insight into the microscopic process accompanying a phase transition at T=0.

引用

页码：1 / 022503