Darboux Transformations for a Class of Duffin–Kemmer–Petiau Equations Governing Spin-Zero Systems

IF 1.7 4区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Few-Body Systems Pub Date : 2023-10-20 DOI:10.1007/s00601-023-01864-3

Axel Schulze-Halberg

引用次数: 0

Abstract

We construct Darboux transformations for a particular class of (1+2)-dimensional spin-zero systems governed by the Duffin–Kemmer–Petiau (DKP) equation. These transformations, consisting of two algorithms, are based on an adaptation of results for coupled Korteweg-de Vries equations, and on the close relationship between the DKP and the Klein–Gordon equation. We derive the explicit form of solutions and potentials pertaining to the Darboux-transformed DKP equation, and we state a reality condition for the transformed potentials. Our results are illustrated by an application.

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一类自旋零系统Duffin-Kemmer-Petiau方程的Darboux变换

我们构造了一类特殊的由Duffin-Kemmer-Petiau (DKP)方程控制的(1+2)维自旋零系统的达布变换。这些转换由两种算法组成，基于对耦合Korteweg-de Vries方程的结果的适应，以及DKP和Klein-Gordon方程之间的密切关系。我们推导了关于达布变换DKP方程的解和势的显式形式，并给出了变换势的一个现实条件。通过一个应用说明了我们的结果。

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

Few-Body Systems 物理-物理：综合

CiteScore

2.90

自引率

18.80%

发文量

审稿时长

6-12 weeks

期刊介绍： The journal Few-Body Systems presents original research work – experimental, theoretical and computational – investigating the behavior of any classical or quantum system consisting of a small number of well-defined constituent structures. The focus is on the research methods, properties, and results characteristic of few-body systems. Examples of few-body systems range from few-quark states, light nuclear and hadronic systems; few-electron atomic systems and small molecules; and specific systems in condensed matter and surface physics (such as quantum dots and highly correlated trapped systems), up to and including large-scale celestial structures. Systems for which an equivalent one-body description is available or can be designed, and large systems for which specific many-body methods are needed are outside the scope of the journal. The journal is devoted to the publication of all aspects of few-body systems research and applications. While concentrating on few-body systems well-suited to rigorous solutions, the journal also encourages interdisciplinary contributions that foster common approaches and insights, introduce and benchmark the use of novel tools (e.g. machine learning) and develop relevant applications (e.g. few-body aspects in quantum technologies).

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