Construction of angular-dependent potentials from trigonometric Pöschl-Teller systems within the Dunkl formalism

IF 0.6 Q3 ENGINEERING, MULTIDISCIPLINARY

Acta Polytechnica Pub Date : 2023-09-05 DOI:10.14311/ap.2023.63.0273

Axel Schulze-Halberg

引用次数: 0

Abstract

We generate solvable cases of the two angular equations resulting from variable separation in the three-dimensional Dunkl-Schrödinger equation expressed in spherical coordinates. It is shown that the Dunkl formalism interrelates these angular equations with trigonometric Pöschl-Teller systems. Based on this interrelation, we use point transformations and Darboux-Crum transformations to construct new solvable cases of the angular equations. Instead of the stationary energy, we use the constants due to the separation of variables as transformation parameters for our Darboux-Crum transformations.

查看原文本刊更多论文

在Dunkl形式体系中三角Pöschl-Teller系统的角相关势的构造

我们在球坐标表示的三维Dunkl-Schrödinger方程中生成了由变量分离引起的两个角方程的可解情况。结果表明，Dunkl形式将这些角方程与三角Pöschl-Teller系统联系起来。基于这种相互关系，我们利用点变换和Darboux-Crum变换构造了角方程的新的可解情形。代替固定能量，我们使用由于变量分离而产生的常数作为我们的Darboux-Crum变换的变换参数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Acta Polytechnica ENGINEERING, MULTIDISCIPLINARY-

CiteScore

1.90

自引率

12.50%

发文量

审稿时长

24 weeks

期刊介绍： Acta Polytechnica is a scientific journal published by CTU in Prague. The main title, Acta Polytechnica, is accompanied by the subtitle Journal of Advanced Engineering, which defines the scope of the journal more precisely - Acta Polytechnica covers a wide spectrum of engineering topics, physics and mathematics. Our aim is to be a high-quality multi-disciplinary journal publishing the results of basic research and also applied research. We place emphasis on the quality of all published papers. The journal should also serve as a bridge between basic research in natural sciences and applied research in all technical disciplines. The innovative research results published by young researchers or by postdoctoral fellows, and also the high-quality papers by researchers from the international scientific community, reflect the good position of CTU in the World University Rankings. We hope that you will ﬁnd our journal interesting, and that it will serve as a valuable source of scientiﬁc information.