Rational extension of anisotropic harmonic oscillator potentials in higher dimensions

IF 3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Annals of Physics Pub Date : 2025-04-26 DOI:10.1016/j.aop.2025.170045

Rajesh Kumar , Rajesh Kumar Yadav , Avinash Khare

引用次数: 0

Abstract

This paper presents the first-order supersymmetric rational extension of the quantum anisotropic harmonic oscillator (QAHO) in multiple dimensions, including full-line, half-line, and their combinations. The exact solutions are in terms of the exceptional orthogonal polynomials. The rationally extended potentials are isospectral to the conventional QAHOs.

查看原文本刊更多论文

高维各向异性谐振子势的有理推广

本文给出了量子各向异性谐振子（QAHO）在多维空间的一阶超对称有理扩展，包括全线、半线及其组合。精确解是用特殊正交多项式表示的。合理扩展的电势与传统的qahs是等谱的。

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

Annals of Physics 物理-物理：综合

CiteScore

5.30

自引率

3.30%

发文量

211

审稿时长

47 days

期刊介绍： Annals of Physics presents original work in all areas of basic theoretic physics research. Ideas are developed and fully explored, and thorough treatment is given to first principles and ultimate applications. Annals of Physics emphasizes clarity and intelligibility in the articles it publishes, thus making them as accessible as possible. Readers familiar with recent developments in the field are provided with sufficient detail and background to follow the arguments and understand their significance. The Editors of the journal cover all fields of theoretical physics. Articles published in the journal are typically longer than 20 pages.