Series Representation of Solutions of Polynomial Dirac Equations

IF 1.1 2区数学 Q2 MATHEMATICS, APPLIED

Advances in Applied Clifford Algebras Pub Date : 2023-09-04 DOI:10.1007/s00006-023-01297-5

Doan Cong Dinh

引用次数: 0

Abstract

In this paper, we consider the polynomial Dirac equation \( \left( D^m+\sum _{i=0}^{m-1}a_iD^i\right) u=0,\ (a_i\in {\mathbb {C}})\), where D is the Dirac operator in \({\mathbb {R}}^n\). We introduce a method of using series to represent explicit solutions of the polynomial Dirac equations.

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多项式狄拉克方程解的级数表示

在本文中，我们考虑多项式Dirac方程\（\left（D^m+\sum_{i=0}）^{m-1}a_iD^i\right）u=0，\（a_i\in｛\mathbb｛C｝｝）\），其中D是\（｛\math bb｛R｝｝^n\）中的Dirac算子。我们介绍了一种用级数表示多项式Dirac方程显式解的方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Advances in Applied Clifford Algebras 数学-物理：数学物理

CiteScore

2.20

自引率

13.30%

发文量

审稿时长

3 months

期刊介绍： Advances in Applied Clifford Algebras (AACA) publishes high-quality peer-reviewed research papers as well as expository and survey articles in the area of Clifford algebras and their applications to other branches of mathematics, physics, engineering, and related fields. The journal ensures rapid publication and is organized in six sections: Analysis, Differential Geometry and Dirac Operators, Mathematical Structures, Theoretical and Mathematical Physics, Applications, and Book Reviews.