Exact Ground State Energy of the Strong-Coupling Polaron
Exact Ground State Energy of the Strong-Coupling Polaron
复制标题
强耦合极化子的精确基态能量
DOI：
10.1007/s002200050175
复制
发表时间：
1995
影响因子：
2.4
通讯作者：
L. Thomas
中科院分区：
文献类型：
--
作者：
E. Lieb;L. Thomas
大约半个世纪以来，极化子一直受到凝聚态理论和场论的关注，尤其是大耦合常数 α 的极限。然而，直到1983年，才通过涉及路径积分大偏差理论的困难论证，最终给出了基态能量渐近公式的证明。这里我们得出相同的渐近结果， \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}\end{document} ，并且显式通过直接应用于哈密顿量的简单、严格的方法来确定误差范围。我们的方法很容易推广到其他设置，例如激子和磁极化子。
The polaron has been of interest in condensed matter theory and field theory for about half a century, especially the limit of large coupling constant, α. It was not until 1983, however, that a proof of the asymptotic formula for the ground state energy was finally given by using difficult arguments involving the large deviation theory of path integrals. Here we derive the same asymptotic result, \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}\end{document}, and with explicit error bounds, by simple, rigorous methods applied directly to the Hamiltonian. Our method is easily generalizable to other settings, e.g., the excitonic and magnetic polarons.