一类算子黎曼-希尔伯特问题的最速下降渐近性
Asymptotics via Steepest Descent for an Operator Riemann-Hilbert Problem
摘要：
在本文中，我们采取了第一步的Deift，其和周的非线性最速下降法的情况下，运营商黎曼-希尔伯特问题的推广。特别是，我们提供了一个弗雷德霍姆行列式在计算的概率找到一个字符串的n个相邻的平行自旋在反铁磁基态的自旋1/2 XXX海森堡链的长程渐近。这样的行列式可以用算子黎曼-希尔伯特分解问题的解来表示。
英文摘要：
In this paper, we take the first step towards an extension of the nonlinear steepest descent method of Deift, Its and Zhou to the case of operator Riemann-Hilbert problems. In particular, we provide long range asymptotics for a Fredholm determinant arising in the computation of the probability of finding a string of n adjacent parallel spins up in the antiferromagnetic ground state of the spin 1/2 XXX Heisenberg Chain. Such a determinant can be expressed in terms of the solution of an operator Riemann-Hilbert factorization problem.
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。
