Asymptotic Equation for Zeros of Hermite Polynomials from the Holstein-Primakoff Representation

量子超代数$U_q[gl(n/m)]$的Dyson实现和Holstein-Primakoff实现

A Dyson realization and a Holstein-Primakoff realization for the quantum superalgebra $U_q[gl(n/m)]$

本文将李超代数$gl(n/m)$的Holstein-Primakoff和Dyson实现推广到量子超代数类$U_q[gl(n/m)]$，对于任意的$n$和$m$ .它示出了如何的元素$U_q[gl(n/m)]$可以表示通过$n-1$对玻色产生和湮灭运营商和$m$对费米产生和湮灭运营商。

量子代数$U_q[sl(n+1)]$的Holstein-Primakoff和Dyson实现

A Holstein-Primakoff and a Dyson realization for the quantum algebra $U_q[sl(n+1)]$

将李代数$sl(n+1), n=1,2,...$用玻色算符的Holstein-Primakoff和Dyson实现（Okubo S 1975 J.Math.Phys.16 528）推广到任意$n$的量子代数类$U_q[sl(n+1)]$.它示出了如何元素的$U_q[sl(n+1)]$可以表示通过$n$对玻色创建和湮灭运营商。

An Introduction to the Holstein-Primakoff Transformation, with Applications in Magnetic Resonance

We have witnessed an impressive advancement in computer performance in the last couple of decades. One would therefore expect a trickling down of the benefits of this technological advancement to the borough of computational simulation of multispin magnetic resonance spectra, but that has not been quite the case. Though some significant progress has been made, chiefly by Kuprov and collaborators, one cannot help but observe that there is still much to be done. In our view, the difficulties are not to be entirely ascribed to technology, but, rather, may mostly stem from the inadequacy of the co…

量子转子截断Holstein-Primakoff描述的优点和局限性

Virtues and limitations of the truncated Holstein-Primakoff description of quantum rotors

描述N个相互作用自旋的集体行为的哈密顿量可以映射到使用Holstein-Primakoff实现的玻色子，代价是具有玻色子创建和湮灭算子的幂的无穷级数。截断这个系列的二次项允许通过Bogoliubov变换获得解析解，这在极限N ->无穷大中变得精确。哈密顿量表现出从单自旋激发到集体模式的相变。在这个相变附近的截断的解决方案预测存在的奇异性有限数量的自旋，没有对应的精确对角化。重正化允许从这些发散中提取出相关观测量的确切行为，这些观测量具有围绕相变的自旋数，并将其与模型所属的普适性类别相关联。在目前的工作中，这些方面的详细分析，提出了Lipkin模型。

三角晶格反铁磁体的自旋极化子技术

A Spin-Polaron Technique Utilized on Triangular-Lattice Antiferromagnet

通过将Holstein-Primakoff变换表示成对称形式，发展了一种用于三角晶格反铁磁体的修正自旋极化子技术。用这种方法处理了一个推广的t-J模型，计算了准粒子的色散，并与其它方法得到的色散进行了比较。