标题： Mehta的有限哈特利变换的特征向量 显示英文标题

标题： Mehta's eigenvectors for the finite Hartely transform

摘要： 本文提出了一种新颖的方法，用于评估有限哈特利变换的解析本征函数。 该方法基于使用$N=1/2$-超对称量子力学作为基本工具，这建立在关键观察之上，即哈特利变换与超电荷算子对易。 利用哈特利变换与有限哈特利变换之间的纠缠算子，我们的方法提供了一个以超对称厄米特多项式表示的过度完备本征向量基。 显示英文摘要

摘要： This paper presents a novel approach for evaluating analytical eigenfunctions of the finite Hartley transform. The approach is based on the use of $N=1/2$-supersymmetric quantum mechanics as a fundamental tool, which builds on the key observation that the Hartley transform commutes with the supercharge operator. Using the intertwining operator between the Hartley transform and the finite Hartley transform, our approach provides an overcomplete basis of eigenvectors expressed in terms of supersymmetric Hermite polynomials.