相关拉盖尔多项式的纯代数推导

IF 1.6 3区数学 Q1 MATHEMATICS

Journal of Geometry and Physics Pub Date : 2024-07-05 DOI:10.1016/j.geomphys.2024.105270

Francesco Domizio , Canio Noce

引用次数: 0

摘要

我们提出了拉盖尔多项式的全代数推导。该推导基于类氢原子薛定谔方程量子力学解的能量特征向量知识和合适的平移算子。由于不需要任何分析计算，因此该方法是纯代数的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

A purely algebraic derivation of associated Laguerre polynomials

We present a fully algebraic derivation of the Laguerre polynomials. The derivation is based on the knowledge of the energy eigenvectors of quantum mechanics solution of hydrogen-like atom Schrödinger equation, and a suitable translation operator. The method is purely algebraic since it does not require any analytical calculations.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Journal of Geometry and Physics 物理-物理：数学物理

CiteScore

2.90

自引率

6.70%

发文量

205

审稿时长

64 days

期刊介绍： The Journal of Geometry and Physics is an International Journal in Mathematical Physics. The Journal stimulates the interaction between geometry and physics by publishing primary research, feature and review articles which are of common interest to practitioners in both fields. The Journal of Geometry and Physics now also accepts Letters, allowing for rapid dissemination of outstanding results in the field of geometry and physics. Letters should not exceed a maximum of five printed journal pages (or contain a maximum of 5000 words) and should contain novel, cutting edge results that are of broad interest to the mathematical physics community. Only Letters which are expected to make a significant addition to the literature in the field will be considered. The Journal covers the following areas of research: Methods of: • Algebraic and Differential Topology • Algebraic Geometry • Real and Complex Differential Geometry • Riemannian Manifolds • Symplectic Geometry • Global Analysis, Analysis on Manifolds • Geometric Theory of Differential Equations • Geometric Control Theory • Lie Groups and Lie Algebras • Supermanifolds and Supergroups • Discrete Geometry • Spinors and Twistors Applications to: • Strings and Superstrings • Noncommutative Topology and Geometry • Quantum Groups • Geometric Methods in Statistics and Probability • Geometry Approaches to Thermodynamics • Classical and Quantum Dynamical Systems • Classical and Quantum Integrable Systems • Classical and Quantum Mechanics • Classical and Quantum Field Theory • General Relativity • Quantum Information • Quantum Gravity