标题： 一些有限维阶梯算符类 显示英文标题

标题： Some classes of finite-dimensional ladder operators

摘要： 我们引入并研究了有限维希尔伯特空间中的一些特殊的阶梯算子类。 特别是我们考虑了量子的截断版本，它们的{\em 伪}版本，以及作用于闭链上的第三类算子。 在后一种情况下，我们讨论了可以被视为{\em 离散相干态}的存在性，作为链的湮灭算子的适当本征向量。 我们看到，在合理的假设下，可以恢复一个单位分解，涉及这些状态以及一个双正交向量族，这些向量实际上是链的升算子的本征态。 显示英文摘要

摘要： We introduce and study some special classes of ladder operators in finite-dimensional Hilbert spaces. In particular we consider a truncated version of quons, their {\em psudo-}version, and a third family of operators acting on a closed chain. In this latter situation, we discuss the existence of what could be considered {\em discrete coherent states}, as suitable eigenvectors of the annihilation operator of the chain. We see that, under reasonable assumptions, a resolution of the identity can be recovered, involving these states, together with a biorthogonal family of vectors, which turn out to be eigenstates of the raising operator of the chain.